Table of Contents
16m 41s
 Intro0:00
 The Coordinate System0:12
 Coordinate Plane: Xaxis and Yaxis0:15
 Quadrants1:02
 Origin2:00
 Ordered Pair2:17
 Coordinate Plane2:59
 Example: Writing Coordinates3:01
 Coordinate Plane, cont.4:15
 Example: Graphing & Coordinate Plane4:17
 Collinear5:58
 Extra Example 1: Writing Coordinates & Quadrants7:34
 Extra Example 2: Quadrants8:52
 Extra Example 3: Graphing & Coordinate Plane10:58
 Extra Example 4: Collinear12:50
17m 17s
 Intro0:00
 Points0:07
 Definition and Example of Points0:09
 Lines0:50
 Definition and Example of Lines0:51
 Planes2:59
 Definition and Example of Planes3:00
 Drawing and Labeling4:40
 Example 1: Drawing and Labeling4:41
 Example 2: Drawing and Labeling5:54
 Example 3: Drawing and Labeling6:41
 Example 4: Drawing and Labeling8:23
 Extra Example 1: Points, Lines and Planes10:19
 Extra Example 2: Naming Figures11:16
 Extra Example 3: Points, Lines and Planes12:35
 Extra Example 4: Draw and Label14:44
31m 31s
 Intro0:00
 Segments0:06
 Examples of Segments0:08
 Ruler Postulate1:30
 Ruler Postulate1:31
 Segment Addition Postulate5:02
 Example and Definition of Segment Addition Postulate5:03
 Segment Addition Postulate8:01
 Example 1: Segment Addition Postulate8:04
 Example 2: Segment Addition Postulate11:15
 Pythagorean Theorem12:36
 Definition of Pythagorean Theorem12:37
 Pythagorean Theorem, cont.15:49
 Example: Pythagorean Theorem15:50
 Distance Formula16:48
 Example and Definition of Distance Formula16:49
 Extra Example 1: Find Each Measure20:32
 Extra Example 2: Find the Missing Measure22:11
 Extra Example 3: Find the Distance Between the Two Points25:36
 Extra Example 4: Pythagorean Theorem29:33
42m 26s
 Intro0:00
 Definition of Midpoint0:07
 Midpoint0:10
 Midpoint Formulas1:30
 Midpoint Formula: On a Number Line1:45
 Midpoint Formula: In a Coordinate Plane2:50
 Midpoint4:40
 Example: Midpoint on a Number Line4:43
 Midpoint6:05
 Example: Midpoint in a Coordinate Plane6:06
 Midpoint8:28
 Example 18:30
 Example 213:01
 Segment Bisector15:14
 Definition and Example of Segment Bisector15:15
 Proofs17:27
 Theorem17:53
 Proof18:21
 Midpoint Theorem19:37
 Example: Proof & Midpoint Theorem19:38
 Extra Example 1: Midpoint on a Number Line23:44
 Extra Example 2: Drawing Diagrams26:25
 Extra Example 3: Midpoint29:14
 Extra Example 4: Segment Bisector33:21
42m 34s
 Intro0:00
 Angles0:05
 Angle0:07
 Ray0:23
 Opposite Rays2:09
 Angles3:22
 Example: Naming Angle3:23
 Angles6:39
 Interior, Exterior, Angle6:40
 Measure and Degrees7:38
 Protractor Postulate8:37
 Example: Protractor Postulate8:38
 Angle Addition Postulate11:41
 Example: Angle addition Postulate11:42
 Classifying Angles14:10
 Acute Angle14:16
 Right Angles14:30
 Obtuse Angle14:41
 Angle Bisector15:02
 Example: Angle Bisector15:04
 Angle Relationships16:43
 Adjacent Angles16:47
 Vertical Angles17:49
 Linear Pair19:40
 Angle Relationships20:31
 Right Angles20:32
 Supplementary Angles21:15
 Complementary Angles21:33
 Extra Example 1: Angles24:08
 Extra Example 2: Angles29:06
 Extra Example 3: Angles32:05
 Extra Example 4 Angles35:44
19m
 Intro0:00
 Inductive Reasoning0:05
 Conjecture0:06
 Inductive Reasoning0:15
 Examples0:55
 Example: Sequence0:56
 More Example: Sequence2:00
 Using Inductive Reasoning2:50
 Example: Conjecture2:51
 More Example: Conjecture3:48
 Counterexamples4:56
 Counterexample4:58
 Extra Example 1: Conjecture6:59
 Extra Example 2: Sequence and Pattern10:20
 Extra Example 3: Inductive Reasoning12:46
 Extra Example 4: Conjecture and Counterexample15:17
42m 47s
 Intro0:00
 If Then Statements0:05
 If Then Statements0:06
 Other Forms2:29
 Example: Without Then2:40
 Example: Using When3:03
 Example: Hypothesis3:24
 Identify the Hypothesis and Conclusion3:52
 Example 1: Hypothesis and Conclusion3:58
 Example 2: Hypothesis and Conclusion4:31
 Example 3: Hypothesis and Conclusion5:38
 Write in If Then Form6:16
 Example 1: Write in If Then Form6:23
 Example 2: Write in If Then Form6:57
 Example 3: Write in If Then Form7:39
 Other Statements8:40
 Other Statements8:41
 Converse Statements9:18
 Converse Statements9:20
 Converses and Counterexamples11:04
 Converses and Counterexamples11:05
 Example 1: Converses and Counterexamples12:02
 Example 2: Converses and Counterexamples15:10
 Example 3: Converses and Counterexamples17:08
 Inverse Statement19:58
 Definition and Example19:59
 Inverse Statement21:46
 Example 1: Inverse and Counterexample21:47
 Example 2: Inverse and Counterexample23:34
 Contrapositive Statement25:20
 Definition and Example25:21
 Contrapositive Statement26:58
 Example: Contrapositive Statement27:00
 Summary29:03
 Summary of Lesson29:04
 Extra Example 1: Hypothesis and Conclusion32:20
 Extra Example 2: IfThen Form33:23
 Extra Example 3: Converse, Inverse, and Contrapositive34:54
 Extra Example 4: Converse, Inverse, and Contrapositive37:56
17m 24s
 Intro0:00
 What are Postulates?0:09
 Definition of Postulates0:10
 Postulates1:22
 Postulate 1: Two Points1:23
 Postulate 2: Three Points2:02
 Postulate 3: Line2:45
 Postulates, cont..3:08
 Postulate 4: Plane3:09
 Postulate 5: Two Points in a Plane3:53
 Postulates, cont..4:46
 Postulate 6: Two Lines Intersect4:47
 Postulate 7: Two Plane Intersect5:28
 Using the Postulates6:34
 Examples: True or False6:35
 Using the Postulates10:18
 Examples: True or False10:19
 Extra Example 1: Always, Sometimes, or Never12:22
 Extra Example 2: Always, Sometimes, or Never13:15
 Extra Example 3: Always, Sometimes, or Never14:16
 Extra Example 4: Always, Sometimes, or Never15:03
36m 3s
 Intro0:00
 Deductive Reasoning0:06
 Definition of Deductive Reasoning0:07
 Inductive vs. Deductive2:51
 Inductive Reasoning2:52
 Deductive reasoning3:19
 Law of Detachment3:47
 Law of Detachment3:48
 Examples of Law of Detachment4:31
 Law of Syllogism7:32
 Law of Syllogism7:33
 Example 1: Making a Conclusion9:02
 Example 2: Making a Conclusion12:54
 Using Laws of Logic14:12
 Example 1: Determine the Logic14:42
 Example 2: Determine the Logic17:02
 Using Laws of Logic, cont.18:47
 Example 3: Determine the Logic19:03
 Example 4: Determine the Logic20:56
 Extra Example 1: Determine the Conclusion and Law22:12
 Extra Example 2: Determine the Conclusion and Law25:39
 Extra Example 3: Determine the Logic and Law29:50
 Extra Example 4: Determine the Logic and Law31:27
44m 31s
 Intro0:00
 Properties of Equality0:10
 Addition Property of Equality0:28
 Subtraction Property of Equality1:10
 Multiplication Property of Equality1:41
 Division Property of Equality1:55
 Addition Property of Equality Using Angles2:46
 Properties of Equality, cont.4:10
 Reflexive Property of Equality4:11
 Symmetric Property of Equality5:24
 Transitive Property of Equality6:10
 Properties of Equality, cont.7:04
 Substitution Property of Equality7:05
 Distributive Property of Equality8:34
 Two Column Proof9:40
 Example: Two Column Proof9:46
 Proof Example 116:13
 Proof Example 223:49
 Proof Example 330:33
 Extra Example 1: Name the Property of Equality38:07
 Extra Example 2: Name the Property of Equality40:16
 Extra Example 3: Name the Property of Equality41:35
 Extra Example 4: Name the Property of Equality43:02
41m 2s
 Intro0:00
 Good Proofs0:12
 Five Essential Parts0:13
 Proof Reasons1:38
 Undefined1:40
 Definitions2:06
 Postulates2:42
 Previously Proven Theorems3:24
 Congruence of Segments4:10
 Theorem: Congruence of Segments4:12
 Proof Example10:16
 Proof: Congruence of Segments10:17
 Setting Up Proofs19:13
 Example: Two Segments with Equal Measures19:15
 Setting Up Proofs21:48
 Example: Vertical Angles are Congruent21:50
 Setting Up Proofs23:59
 Example: Segment of a Triangle24:00
 Extra Example 1: Congruence of Segments27:03
 Extra Example 2: Setting Up Proofs28:50
 Extra Example 3: Setting Up Proofs30:55
 Extra Example 4: TwoColumn Proof33:11
33m 37s
 Intro0:00
 Supplement Theorem0:05
 Supplementary Angles0:06
 Congruence of Angles2:37
 Proof: Congruence of Angles2:38
 Angle Theorems6:54
 Angle Theorem 1: Supplementary Angles6:55
 Angle Theorem 2: Complementary Angles10:25
 Angle Theorems11:32
 Angle Theorem 3: Right Angles11:35
 Angle Theorem 4: Vertical Angles12:09
 Angle Theorem 5: Perpendicular Lines12:57
 Using Angle Theorems13:45
 Example 1: Always, Sometimes, or Never13:50
 Example 2: Always, Sometimes, or Never14:28
 Example 3: Always, Sometimes, or Never16:21
 Extra Example 1: Always, Sometimes, or Never16:53
 Extra Example 2: Find the Measure of Each Angle18:55
 Extra Example 3: Find the Measure of Each Angle25:03
 Extra Example 4: TwoColumn Proof27:08
37m 35s
 Intro0:00
 Lines0:06
 Parallel Lines0:09
 Skew Lines2:02
 Transversal3:42
 Angles Formed by a Transversal4:28
 Interior Angles5:53
 Exterior Angles6:09
 Consecutive Interior Angles7:04
 Alternate Exterior Angles9:47
 Alternate Interior Angles11:22
 Corresponding Angles12:27
 Angles Formed by a Transversal15:29
 Relationship Between Angles15:30
 Extra Example 1: Intersecting, Parallel, or Skew19:26
 Extra Example 2: Draw a Diagram21:37
 Extra Example 3: Name the Figures24:12
 Extra Example 4: Angles Formed by a Transversal28:38
41m 53s
 Intro0:00
 Corresponding Angles Postulate0:05
 Corresponding Angles Postulate0:06
 Alternate Interior Angles Theorem3:05
 Alternate Interior Angles Theorem3:07
 Consecutive Interior Angles Theorem5:16
 Consecutive Interior Angles Theorem5:17
 Alternate Exterior Angles Theorem6:42
 Alternate Exterior Angles Theorem6:43
 Parallel Lines Cut by a Transversal7:18
 Example: Parallel Lines Cut by a Transversal7:19
 Perpendicular Transversal Theorem14:54
 Perpendicular Transversal Theorem14:55
 Extra Example 1: State the Postulate or Theorem16:37
 Extra Example 2: Find the Measure of the Numbered Angle18:53
 Extra Example 3: Find the Measure of Each Angle25:13
 Extra Example 4: Find the Values of x, y, and z36:26
44m 6s
 Intro0:00
 Definition of Slope0:06
 Slope Equation0:13
 Slope of a Line3:45
 Example: Find the Slope of a Line3:47
 Slope of a Line8:38
 More Example: Find the Slope of a Line8:40
 Slope Postulates12:32
 Proving Slope Postulates12:33
 Parallel or Perpendicular Lines17:23
 Example: Parallel or Perpendicular Lines17:24
 Using Slope Formula20:02
 Example: Using Slope Formula20:03
 Extra Example 1: Slope of a Line25:10
 Extra Example 2: Slope of a Line26:31
 Extra Example 3: Graph the Line34:11
 Extra Example 4: Using the Slope Formula38:50
25m 55s
 Intro0:00
 Postulates0:06
 Postulate 1: Parallel Lines0:21
 Postulate 2: Parallel Lines2:16
 Parallel Postulate3:28
 Definition and Example of Parallel Postulate3:29
 Theorems4:29
 Theorem 1: Parallel Lines4:40
 Theorem 2: Parallel Lines5:37
 Theorems, cont.6:10
 Theorem 3: Parallel Lines6:11
 Extra Example 1: Determine Parallel Lines6:56
 Extra Example 2: Find the Value of x11:42
 Extra Example 3: Opposite Sides are Parallel14:48
 Extra Example 4: Proving Parallel Lines20:42
19m 48s
 Intro0:00
 Distance Between a Points and Line0:07
 Definition and Example0:08
 Distance Between Parallel Lines1:51
 Definition and Example1:52
 Extra Example 1: Drawing a Segment to Represent Distance3:02
 Extra Example 2: Drawing a Segment to Represent Distance4:27
 Extra Example 3: Graph, Plot, and Construct a Perpendicular Segment5:13
 Extra Example 4: Distance Between Two Parallel Lines15:37
28m 43s
 Intro0:00
 Triangles0:09
 Triangle: A ThreeSided Polygon0:10
 Sides1:00
 Vertices1:22
 Angles1:56
 Classifying Triangles by Angles2:59
 Acute Triangle3:19
 Obtuse Triangle4:08
 Right Triangle4:44
 Equiangular Triangle5:38
 Definition and Example of an Equiangular Triangle5:39
 Classifying Triangles by Sides6:57
 Scalene Triangle7:17
 Isosceles Triangle7:57
 Equilateral Triangle8:12
 Isosceles Triangle8:58
 Labeling Isosceles Triangle9:00
 Labeling Right Triangle10:44
 Isosceles Triangle11:10
 Example: Find x, AB, BC, and AC11:11
 Extra Example 1: Classify Each Triangle13:45
 Extra Example 2: Always, Sometimes, or Never16:28
 Extra Example 3: Find All the Sides of the Isosceles Triangle20:29
 Extra Example 4: Distance Formula and Triangle22:29
44m 43s
 Intro0:00
 Angle Sum Theorem0:09
 Angle Sum Theorem for Triangle0:11
 Using Angle Sum Theorem4:06
 Find the Measure of the Missing Angle4:07
 Third Angle Theorem4:58
 Example: Third Angle Theorem4:59
 Exterior Angle Theorem7:58
 Example: Exterior Angle Theorem8:00
 Flow Proof of Exterior Angle Theorem15:14
 Flow Proof of Exterior Angle Theorem15:17
 Triangle Corollaries27:21
 Triangle Corollary 127:50
 Triangle Corollary 230:42
 Extra Example 1: Find the Value of x32:55
 Extra Example 2: Find the Value of x34:20
 Extra Example 3: Find the Measure of the Angle35:38
 Extra Example 4: Find the Measure of Each Numbered Angle39:00
26m 46s
 Intro0:00
 Congruent Triangles0:15
 Example of Congruent Triangles0:17
 Corresponding Parts3:39
 Corresponding Angles and Sides of Triangles3:40
 Definition of Congruent Triangles11:24
 Definition of Congruent Triangles11:25
 Triangle Congruence16:37
 Congruence of Triangles16:38
 Extra Example 1: Congruence Statement18:24
 Extra Example 2: Congruence Statement21:26
 Extra Example 3: Draw and Label the Figure23:09
 Extra Example 4: Drawing Triangles24:04
47m 51s
 Intro0:00
 SSS Postulate0:18
 SideSideSide Postulate0:27
 SAS Postulate2:26
 SideAngleSide Postulate2:29
 SAS Postulate3:57
 Proof Example3:58
 ASA Postulate11:47
 AngleSideAngle Postulate11:53
 AAS Theorem14:13
 AngleAngleSide Theorem14:14
 Methods Overview16:16
 Methods Overview16:17
 SSS16:33
 SAS17:06
 ASA17:50
 AAS18:17
 CPCTC19:14
 Extra Example 1:Proving Triangles are Congruent21:29
 Extra Example 2: Proof25:40
 Extra Example 3: Proof30:41
 Extra Example 4: Proof38:41
27m 53s
 Intro0:00
 Isosceles Triangle Theorem0:07
 Isosceles Triangle Theorem0:09
 Isosceles Triangle Theorem2:26
 Example: Using the Isosceles Triangle Theorem2:27
 Isosceles Triangle Theorem Converse3:29
 Isosceles Triangle Theorem Converse3:30
 Equilateral Triangle Theorem Corollaries4:30
 Equilateral Triangle Theorem Corollary 14:59
 Equilateral Triangle Theorem Corollary 25:55
 Extra Example 1: Find the Value of x7:08
 Extra Example 2: Find the Value of x10:04
 Extra Example 3: Proof14:04
 Extra Example 4: Proof22:41
43m 44s
 Intro0:00
 Perpendicular Bisector0:06
 Perpendicular Bisector0:07
 Perpendicular Bisector4:07
 Perpendicular Bisector Theorems4:08
 Median6:30
 Definition of Median6:31
 Median9:41
 Example: Median9:42
 Altitude12:22
 Definition of Altitude12:23
 Angle Bisector14:33
 Definition of Angle Bisector14:34
 Angle Bisector16:41
 Angle Bisector Theorems16:42
 Special Segments Overview18:57
 Perpendicular Bisector19:04
 Median19:32
 Altitude19:49
 Angle Bisector20:02
 Examples: Special Segments20:18
 Extra Example 1: Draw and Label22:36
 Extra Example 2: Draw the Altitudes for Each Triangle24:37
 Extra Example 3: Perpendicular Bisector27:57
 Extra Example 4: Draw, Label, and Write Proof34:33
26m 34s
 Intro0:00
 LL Theorem0:21
 LegLeg Theorem0:25
 HA Theorem2:23
 HypotenuseAngle Theorem2:24
 LA Theorem4:49
 LegAngle Theorem4:50
 LA Theorem6:18
 Example: Find x and y6:19
 HL Postulate8:22
 HypotenuseLeg Postulate8:23
 Extra Example 1: LA Theorem & HL Postulate10:57
 Extra Example 2: Find x So That Each Pair of Triangles is Congruent14:15
 Extra Example 3: Twocolumn Proof17:02
 Extra Example 4: Twocolumn Proof21:01
33m 30s
 Intro0:00
 Writing an Indirect Proof0:09
 Step 10:49
 Step 22:32
 Step 33:00
 Indirect Proof4:30
 Example: 2 + 6 = 85:00
 Example: The Suspect is Guilty5:40
 Example: Measure of Angle A < Measure of Angle B6:06
 Definition of Inequality7:47
 Definition of Inequality & Example7:48
 Properties of Inequality9:55
 Comparison Property9:58
 Transitive Property10:33
 Addition and Subtraction Properties12:01
 Multiplication and Division Properties13:07
 Exterior Angle Inequality Theorem14:12
 Example: Exterior Angle Inequality Theorem14:13
 Extra Example 1: Draw a Diagram for the Statement18:32
 Extra Example 2: Name the Property for Each Statement19:56
 Extra Example 3: State the Assumption21:22
 Extra Example 4: Write an Indirect Proof25:39
17m 26s
 Intro0:00
 Side to Angles0:10
 If One Side of a Triangle is Longer Than Another Side0:11
 Converse: Angles to Sides1:57
 If One Angle of a Triangle Has a Greater Measure Than Another Angle1:58
 Extra Example 1: Name the Angles in the Triangle From Least to Greatest2:38
 Extra Example 2: Find the Longest and Shortest Segment in the Triangle3:47
 Extra Example 3: Angles and Sides of a Triangle4:51
 Extra Example 4: Twocolumn Proof9:08
28m 11s
 Intro0:00
 Triangle Inequality Theorem0:05
 Triangle Inequality Theorem0:06
 Triangle Inequality Theorem4:22
 Example 1: Triangle Inequality Theorem4:23
 Example 2: Triangle Inequality Theorem9:40
 Extra Example 1: Determine if the Three Numbers can Represent the Sides of a Triangle12:00
 Extra Example 2: Finding the Third Side of a Triangle13:34
 Extra Example 3: Always True, Sometimes True, or Never True18:18
 Extra Example 4: Triangle and Vertices22:36
29m 36s
 Intro0:00
 SAS Inequality Theorem0:06
 SAS Inequality Theorem & Example0:25
 SSS Inequality Theorem4:33
 SSS Inequality Theorem & Example4:34
 Extra Example 1: Write an Inequality Comparing the Segments6:08
 Extra Example 2: Determine if the Statement is True9:52
 Extra Example 3: Write an Inequality for x14:20
 Extra Example 4: Twocolumn Proof17:44
29m 11s
 Intro0:00
 Quadrilaterals0:06
 Foursided Polygons0:08
 Non Examples of Quadrilaterals0:47
 Parallelograms1:35
 Parallelograms1:36
 Properties of Parallelograms4:28
 Opposite Sides of a Parallelogram are Congruent4:29
 Opposite Angles of a Parallelogram are Congruent5:49
 Angles and Diagonals6:24
 Consecutive Angles in a Parallelogram are Supplementary6:25
 The Diagonals of a Parallelogram Bisect Each Other8:42
 Extra Example 1: Complete Each Statement About the Parallelogram10:26
 Extra Example 2: Find the Values of x, y, and z of the Parallelogram13:21
 Extra Example 3: Find the Distance of Each Side to Verify the Parallelogram16:35
 Extra Example 4: Slope of Parallelogram23:15
42m 43s
 Intro0:00
 Parallelogram Theorems0:09
 Theorem 10:20
 Theorem 21:50
 Parallelogram Theorems, Cont.3:10
 Theorem 33:11
 Theorem 44:15
 Proving Parallelogram6:21
 Example: Determine if Quadrilateral ABCD is a Parallelogram6:22
 Summary14:01
 Both Pairs of Opposite Sides are Parallel14:14
 Both Pairs of Opposite Sides are Congruent15:09
 Both Pairs of Opposite Angles are Congruent15:24
 Diagonals Bisect Each Other15:44
 A Pair of Opposite Sides is Both Parallel and Congruent16:13
 Extra Example 1: Determine if Each Quadrilateral is a Parallelogram16:54
 Extra Example 2: Find the Value of x and y20:23
 Extra Example 3: Determine if the Quadrilateral ABCD is a Parallelogram24:05
 Extra Example 4: Twocolumn Proof30:28
29m 47s
 Intro0:00
 Rectangles0:03
 Definition of Rectangles0:04
 Diagonals of Rectangles2:52
 Rectangles: Diagonals Property 12:53
 Rectangles: Diagonals Property 23:30
 Proving a Rectangle4:40
 Example: Determine Whether Parallelogram ABCD is a Rectangle4:41
 Rectangles Summary9:22
 Opposite Sides are Congruent and Parallel9:40
 Opposite Angles are Congruent9:51
 Consecutive Angles are Supplementary9:58
 Diagonals are Congruent and Bisect Each Other10:05
 All Four Angles are Right Angles10:40
 Extra Example 1: Find the Value of x11:03
 Extra Example 2: Name All Congruent Sides and Angles13:52
 Extra Example 3: Always, Sometimes, or Never True19:39
 Extra Example 4: Determine if ABCD is a Rectangle26:45
39m 14s
 Intro0:00
 Rhombus0:09
 Definition of a Rhombus0:10
 Diagonals of a Rhombus2:03
 Rhombus: Diagonals Property 12:21
 Rhombus: Diagonals Property 23:49
 Rhombus: Diagonals Property 34:36
 Rhombus6:17
 Example: Use the Rhombus to Find the Missing Value6:18
 Square8:17
 Definition of a Square8:20
 Summary Chart11:06
 Parallelogram11:07
 Rectangle12:56
 Rhombus13:54
 Square14:44
 Extra Example 1: Diagonal Property15:44
 Extra Example 2: Use Rhombus ABCD to Find the Missing Value19:39
 Extra Example 3: Always, Sometimes, or Never True23:06
 Extra Example 4: Determine the Quadrilateral28:02
30m 48s
 Intro0:00
 Trapezoid0:10
 Definition of Trapezoid0:12
 Isosceles Trapezoid2:57
 Base Angles of an Isosceles Trapezoid2:58
 Diagonals of an Isosceles Trapezoid4:05
 Median of a Trapezoid4:26
 Median of a Trapezoid4:27
 Median of a Trapezoid6:41
 Median Formula7:00
 Kite8:28
 Definition of a Kite8:29
 Quadrilaterals Summary11:19
 A Quadrilateral with Two Pairs of Adjacent Congruent Sides11:20
 Extra Example 1: Isosceles Trapezoid14:50
 Extra Example 2: Median of Trapezoid18:28
 Extra Example 3: Always, Sometimes, or Never24:13
 Extra Example 4: Determine if the Figure is a Trapezoid26:49
20m 10s
 Intro0:00
 Ratio0:05
 Definition and Examples of Writing Ratio0:06
 Proportion2:05
 Definition of Proportion2:06
 Examples of Proportion2:29
 Using Ratio5:53
 Example: Ratio5:54
 Extra Example 1: Find Three Ratios Equivalent to 2/59:28
 Extra Example 2: Proportion and Cross Products10:32
 Extra Example 3: Express Each Ratio as a Fraction13:18
 Extra Example 4: Fin the Measure of a 3:4:5 Triangle17:26
27m 53s
 Intro0:00
 Similar Polygons0:05
 Definition of Similar Polygons0:06
 Example of Similar Polygons2:32
 Scale Factor4:26
 Scale Factor: Definition and Example4:27
 Extra Example 1: Determine if Each Pair of Figures is Similar7:03
 Extra Example 2: Find the Values of x and y11:33
 Extra Example 3: Similar Triangles19:57
 Extra Example 4: Draw Two Similar Figures23:36
34m 10s
 Intro0:00
 AA Similarity0:10
 Definition of AA Similarity0:20
 Example of AA Similarity2:32
 SSS Similarity4:46
 Definition of SSS Similarity4:47
 Example of SSS Similarity6:00
 SAS Similarity8:04
 Definition of SAS Similarity8:05
 Example of SAS Similarity9:12
 Extra Example 1: Determine Whether Each Pair of Triangles is Similar10:59
 Extra Example 2: Determine Which Triangles are Similar16:08
 Extra Example 3: Determine if the Statement is True or False23:11
 Extra Example 4: Write TwoColumn Proof26:25
24m 7s
 Intro0:00
 Triangle Proportionality0:07
 Definition of Triangle Proportionality0:08
 Example of Triangle Proportionality0:51
 Triangle Proportionality Converse2:19
 Triangle Proportionality Converse2:20
 Triangle Midsegment3:42
 Triangle Midsegment: Definition and Example3:43
 Parallel Lines and Transversal6:51
 Parallel Lines and Transversal6:52
 Extra Example 1: Complete Each Statement8:59
 Extra Example 2: Determine if the Statement is True or False12:28
 Extra Example 3: Find the Value of x and y15:35
 Extra Example 4: Find Midpoints of a Triangle20:43
27m 6s
 Intro0:00
 Proportional Perimeters0:09
 Proportional Perimeters: Definition and Example0:10
 Similar Altitudes2:23
 Similar Altitudes: Definition and Example2:24
 Similar Angle Bisectors4:50
 Similar Angle Bisectors: Definition and Example4:51
 Similar Medians6:05
 Similar Medians: Definition and Example6:06
 Angle Bisector Theorem7:33
 Angle Bisector Theorem7:34
 Extra Example 1: Parts of Similar Triangles10:52
 Extra Example 2: Parts of Similar Triangles14:57
 Extra Example 3: Parts of Similar Triangles19:27
 Extra Example 4: Find the Perimeter of Triangle ABC23:14
21m 14s
 Intro0:00
 Pythagorean Theorem0:05
 Pythagorean Theorem & Example0:06
 Pythagorean Converse1:20
 Pythagorean Converse & Example1:21
 Pythagorean Triple2:42
 Pythagorean Triple2:43
 Extra Example 1: Find the Missing Side4:59
 Extra Example 2: Determine Right Triangle7:40
 Extra Example 3: Determine Pythagorean Triple11:30
 Extra Example 4: Vertices and Right Triangle14:29
40m 59s
 Intro0:00
 Geometric Mean0:04
 Geometric Mean & Example0:05
 Similar Triangles4:32
 Similar Triangles4:33
 Geometric MeanAltitude11:10
 Geometric MeanAltitude & Example11:11
 Geometric MeanLeg14:47
 Geometric MeanLeg & Example14:18
 Extra Example 1: Geometric Mean Between Each Pair of Numbers20:10
 Extra Example 2: Similar Triangles23:46
 Extra Example 3: Geometric Mean of Triangles28:30
 Extra Example 4: Geometric Mean of Triangles36:58
37m 57s
 Intro0:00
 454590 Triangles0:06
 Definition of 454590 Triangles0:25
 454590 Triangles5:51
 Example: Find n5:52
 306090 Triangles8:59
 Definition of 306090 Triangles9:00
 306090 Triangles12:25
 Example: Find n12:26
 Extra Example 1: Special Right Triangles15:08
 Extra Example 2: Special Right Triangles18:22
 Extra Example 3: Word Problems & Special Triangles27:40
 Extra Example 4: Hexagon & Special Triangles33:51
40m 37s
 Intro0:00
 Trigonometric Ratios0:08
 Definition of Trigonometry0:13
 Sine (sin), Cosine (cos), & Tangent (tan)0:50
 Trigonometric Ratios3:04
 Trig Functions3:05
 Inverse Trig Functions5:02
 SOHCAHTOA8:16
 sin x9:07
 cos x10:00
 tan x10:32
 Example: SOHCAHTOA & Triangle12:10
 Extra Example 1: Find the Value of Each Ratio or Angle Measure14:36
 Extra Example 2: Find Sin, Cos, and Tan18:51
 Extra Example 3: Find the Value of x Using SOHCAHTOA22:55
 Extra Example 4: Trigonometric Ratios in Right Triangles32:13
21m 4s
 Intro0:00
 Angle of Elevation0:10
 Definition of Angle of Elevation & Example0:11
 Angle of Depression1:19
 Definition of Angle of Depression & Example1:20
 Extra Example 1: Name the Angle of Elevation and Depression2:22
 Extra Example 2: Word Problem & Angle of Depression4:41
 Extra Example 3: Word Problem & Angle of Elevation14:02
 Extra Example 4: Find the Missing Measure18:10
35m 25s
 Intro0:00
 Law of Sines0:20
 Law of Sines0:21
 Law of Sines3:34
 Example: Find b3:35
 Solving the Triangle9:19
 Example: Using the Law of Sines to Solve Triangle9:20
 Extra Example 1: Law of Sines and Triangle17:43
 Extra Example 2: Law of Sines and Triangle20:06
 Extra Example 3: Law of Sines and Triangle23:54
 Extra Example 4: Law of Sines and Triangle28:59
52m 43s
 Intro0:00
 Law of Cosines0:35
 Law of Cosines0:36
 Law of Cosines6:22
 Use the Law of Cosines When Both are True6:23
 Law of Cosines8:35
 Example: Law of Cosines8:36
 Extra Example 1: Law of Sines or Law of Cosines?13:35
 Extra Example 2: Use the Law of Cosines to Find the Missing Measure17:02
 Extra Example 3: Solve the Triangle30:49
 Extra Example 4: Find the Measure of Each Diagonal of the Parallelogram41:39
22m 43s
 Intro0:00
 Segments in a Circle0:10
 Circle0:11
 Chord0:59
 Diameter1:32
 Radius2:07
 Secant2:17
 Tangent3:10
 Circumference3:56
 Introduction to Circumference3:57
 Example: Find the Circumference of the Circle5:09
 Circumference6:40
 Example: Find the Circumference of the Circle6:41
 Extra Example 1: Use the Circle to Answer the Following9:10
 Extra Example 2: Find the Missing Measure12:53
 Extra Example 3: Given the Circumference, Find the Perimeter of the Triangle15:51
 Extra Example 4: Find the Circumference of Each Circle19:24
35m 24s
 Intro0:00
 Central Angle0:06
 Definition of Central Angle0:07
 Sum of Central Angles1:17
 Sum of Central Angles1:18
 Arcs2:27
 Minor Arc2:30
 Major Arc3:47
 Arc Measure5:24
 Measure of Minor Arc5:24
 Measure of Major Arc6:53
 Measure of a Semicircle7:11
 Arc Addition Postulate8:25
 Arc Addition Postulate8:26
 Arc Length9:43
 Arc Length and Example9:44
 Concentric Circles16:05
 Concentric Circles16:06
 Congruent Circles and Arcs17:50
 Congruent Circles17:51
 Congruent Arcs18:47
 Extra Example 1: Minor Arc, Major Arc, and Semicircle20:14
 Extra Example 2: Measure and Length of Arc22:52
 Extra Example 3: Congruent Arcs25:48
 Extra Example 4: Angles and Arcs30:33
21m 51s
 Intro0:00
 Arcs and Chords0:07
 Arc of the Chord0:08
 Theorem 1: Congruent Minor Arcs1:01
 Inscribed Polygon2:10
 Inscribed Polygon2:11
 Arcs and Chords3:18
 Theorem 2: When a Diameter is Perpendicular to a Chord3:19
 Arcs and Chords5:05
 Theorem 3: Congruent Chords5:06
 Extra Example 1: Congruent Arcs10:35
 Extra Example 2: Length of Arc13:50
 Extra Example 3: Arcs and Chords17:09
 Extra Example 4: Arcs and Chords19:45
27m 53s
 Intro0:00
 Inscribed Angles0:07
 Definition of Inscribed Angles0:08
 Inscribed Angles0:58
 Inscribed Angle Theorem 10:59
 Inscribed Angles3:29
 Inscribed Angle Theorem 23:30
 Inscribed Angles4:38
 Inscribed Angle Theorem 34:39
 Inscribed Quadrilateral5:50
 Inscribed Quadrilateral5:51
 Extra Example 1: Central Angle, Inscribed Angle, and Intercepted Arc7:02
 Extra Example 2: Inscribed Angles9:24
 Extra Example 3: Inscribed Angles14:00
 Extra Example 4: Complete the Proof17:58
26m 16s
 Intro0:00
 Tangent Theorems0:04
 Tangent Theorem 10:05
 Tangent Theorem 1 Converse0:55
 Common Tangents1:34
 Common External Tangent2:12
 Common Internal Tangent2:30
 Tangent Segments3:08
 Tangent Segments3:09
 Circumscribed Polygons4:11
 Circumscribed Polygons4:12
 Extra Example 1: Tangents & Circumscribed Polygons5:50
 Extra Example 2: Tangents & Circumscribed Polygons8:35
 Extra Example 3: Tangents & Circumscribed Polygons11:50
 Extra Example 4: Tangents & Circumscribed Polygons15:43
27m 50s
 Intro0:00
 Secant0:08
 Secant0:09
 Secant and Tangent0:49
 Secant and Tangent0:50
 Interior Angles2:56
 Secants & Interior Angles2:57
 Exterior Angles7:21
 Secants & Exterior Angles7:22
 Extra Example 1: Secants, Tangents, & Angle Measures10:53
 Extra Example 2: Secants, Tangents, & Angle Measures13:31
 Extra Example 3: Secants, Tangents, & Angle Measures19:54
 Extra Example 4: Secants, Tangents, & Angle Measures22:29
23m 8s
 Intro0:00
 Chord Segments0:05
 Chord Segments0:06
 Secant Segments1:36
 Secant Segments1:37
 Tangent and Secant Segments4:10
 Tangent and Secant Segments4:11
 Extra Example 1: Special Segments in a Circle5:53
 Extra Example 2: Special Segments in a Circle7:58
 Extra Example 3: Special Segments in a Circle11:24
 Extra Example 4: Special Segments in a Circle18:09
27m 1s
 Intro0:00
 Equation of a Circle0:06
 Standard Equation of a Circle0:07
 Example 1: Equation of a Circle0:57
 Example 2: Equation of a Circle1:36
 Extra Example 1: Determine the Coordinates of the Center and the Radius4:56
 Extra Example 2: Write an Equation Based on the Given Information7:53
 Extra Example 3: Graph Each Circle16:48
 Extra Example 4: Write the Equation of Each Circle19:17
27m 24s
 Intro0:00
 Polygons0:10
 Polygon vs. Not Polygon0:18
 Convex and Concave1:46
 Convex vs. Concave Polygon1:52
 Regular Polygon4:04
 Regular Polygon4:05
 Interior Angle Sum Theorem4:53
 Triangle5:03
 Quadrilateral6:05
 Pentagon6:38
 Hexagon7:59
 20Gon9:36
 Exterior Angle Sum Theorem12:04
 Exterior Angle Sum Theorem12:05
 Extra Example 1: Drawing Polygons13:51
 Extra Example 2: Convex Polygon15:16
 Extra Example 3: Exterior Angle Sum Theorem18:21
 Extra Example 4: Interior Angle Sum Theorem22:20
17m 46s
 Intro0:00
 Parallelograms0:06
 Definition and Area Formula0:07
 Area of Figure2:00
 Area of Figure2:01
 Extra Example 1:Find the Area of the Shaded Area3:14
 Extra Example 2: Find the Height and Area of the Parallelogram6:00
 Extra Example 3: Find the Area of the Parallelogram Given Coordinates and Vertices10:11
 Extra Example 4: Find the Area of the Figure14:31
20m 31s
 Intro0:00
 Area of a Triangle0:06
 Area of a Triangle: Formula and Example0:07
 Area of a Trapezoid2:31
 Area of a Trapezoid: Formula2:32
 Area of a Trapezoid: Example6:55
 Area of a Rhombus8:05
 Area of a Rhombus: Formula and Example8:06
 Extra Example 1: Find the Area of the Polygon9:51
 Extra Example 2: Find the Area of the Figure11:19
 Extra Example 3: Find the Area of the Figure14:16
 Extra Example 4: Find the Height of the Trapezoid18:10
36m 43s
 Intro0:00
 Regular Polygon0:08
 SOHCAHTOA0:54
 306090 Triangle1:52
 454590 Triangle2:40
 Area of a Regular Polygon3:39
 Area of a Regular Polygon3:40
 Are of a Circle7:55
 Are of a Circle7:56
 Extra Example 1: Find the Area of the Regular Polygon8:22
 Extra Example 2: Find the Area of the Regular Polygon16:48
 Extra Example 3: Find the Area of the Shaded Region24:11
 Extra Example 4: Find the Area of the Shaded Region32:24
18m 17s
 Intro0:00
 Perimeter of Similar Figures0:08
 Example: Scale Factor & Perimeter of Similar Figures0:09
 Area of Similar Figures2:44
 Example:Scale Factor & Area of Similar Figures2:55
 Extra Example 1: Complete the Table6:09
 Extra Example 2: Find the Ratios of the Perimeter and Area of the Similar Figures8:56
 Extra Example 3: Find the Unknown Area12:04
 Extra Example 4: Use the Given Area to Find AB14:26
38m 40s
 Intro0:00
 Length Probability Postulate0:05
 Length Probability Postulate0:06
 Are Probability Postulate2:34
 Are Probability Postulate2:35
 Are of a Sector of a Circle4:11
 Are of a Sector of a Circle Formula4:12
 Are of a Sector of a Circle Example7:51
 Extra Example 1: Length Probability11:07
 Extra Example 2: Area Probability12:14
 Extra Example 3: Area Probability17:17
 Extra Example 4: Area of a Sector of a Circle26:23
23m 39s
 Intro0:00
 Polyhedrons0:05
 Polyhedrons: Definition and Examples0:06
 Faces1:08
 Edges1:55
 Vertices2:23
 Solids2:51
 Pyramid2:54
 Cylinder3:45
 Cone4:09
 Sphere4:23
 Prisms5:00
 Rectangular, Regular, and Cube Prisms5:02
 Platonic Solids9:48
 Five Types of Regular Polyhedra9:49
 Slices and Cross Sections12:07
 Slices12:08
 Cross Sections12:47
 Extra Example 1: Name the Edges, Faces, and Vertices of the Polyhedron14:23
 Extra Example 2: Determine if the Figure is a Polyhedron and Explain Why17:37
 Extra Example 3: Describe the Slice Resulting from the Cut19:12
 Extra Example 4: Describe the Shape of the Intersection21:25
38m 50s
 Intro0:00
 Prisms0:06
 Bases0:07
 Lateral Faces0:52
 Lateral Edges1:19
 Altitude1:58
 Prisms2:24
 Right Prism2:25
 Oblique Prism2:56
 Classifying Prisms3:27
 Right Rectangular Prism3:28
 Oblique Pentagonal Prism6:26
 Right Hexagonal Prism7:14
 Lateral Area of a Prism7:42
 Lateral Area of a Prism7:43
 Surface Area of a Prism13:44
 Surface Area of a Prism13:45
 Cylinder16:18
 Cylinder: Right and Oblique16:19
 Lateral Area of a Cylinder18:02
 Lateral Area of a Cylinder18:03
 Surface Area of a Cylinder20:54
 Surface Area of a Cylinder20:55
 Extra Example 1: Find the Lateral Area and Surface Are of the Prism21:51
 Extra Example 2: Find the Lateral Area of the Prism28:15
 Extra Example 3: Find the Surface Area of the Prism31:57
 Extra Example 4: Find the Lateral Area and Surface Area of the Cylinder34:17
26m 10s
 Intro0:00
 Pyramids0:07
 Pyramids0:08
 Regular Pyramids1:52
 Regular Pyramids1:53
 Lateral Area of a Pyramid4:33
 Lateral Area of a Pyramid4:34
 Surface Area of a Pyramid9:19
 Surface Area of a Pyramid9:20
 Cone10:09
 Right and Oblique Cone10:10
 Lateral Area and Surface Area of a Right Cone11:20
 Lateral Area and Surface Are of a Right Cone11:21
 Extra Example 1: Pyramid and Prism13:11
 Extra Example 2: Find the Lateral Area of the Regular Pyramid15:00
 Extra Example 3: Find the Surface Area of the Pyramid18:29
 Extra Example 4: Find the Lateral Area and Surface Area of the Cone22:08
21m 59s
 Intro0:00
 Volume of Prism0:08
 Volume of Prism0:10
 Volume of Cylinder3:38
 Volume of Cylinder3:39
 Extra Example 1: Find the Volume of the Prism5:10
 Extra Example 2: Find the Volume of the Cylinder8:03
 Extra Example 3: Find the Volume of the Prism9:35
 Extra Example 4: Find the Volume of the Solid19:06
22m 2s
 Intro0:00
 Volume of a Cone0:08
 Volume of a Cone: Example0:10
 Volume of a Pyramid3:02
 Volume of a Pyramid: Example3:03
 Extra Example 1: Find the Volume of the Pyramid4:56
 Extra Example 2: Find the Volume of the Solid6:01
 Extra Example 3: Find the Volume of the Pyramid10:28
 Extra Example 4: Find the Volume of the Octahedron16:23
14m 46s
 Intro0:00
 Special Segments0:06
 Radius0:07
 Chord0:31
 Diameter0:55
 Tangent1:20
 Sphere1:43
 Plane & Sphere1:44
 Hemisphere2:56
 Surface Area of a Sphere3:25
 Surface Area of a Sphere3:26
 Volume of a Sphere4:08
 Volume of a Sphere4:09
 Extra Example 1: Determine Whether Each Statement is True or False4:24
 Extra Example 2: Find the Surface Area of the Sphere6:17
 Extra Example 3: Find the Volume of the Sphere with a Diameter of 20 Meters7:25
 Extra Example 4: Find the Surface Area and Volume of the Solid9:17
16m 6s
 Intro0:00
 Scale Factor0:06
 Scale Factor: Definition and Example0:08
 Congruent Solids1:09
 Congruent Solids1:10
 Similar Solids2:17
 Similar Solids2:18
 Extra Example 1: Determine if Each Pair of Solids is Similar, Congruent, or Neither3:35
 Extra Example 2: Determine if Each Statement is True or False7:47
 Extra Example 3: Find the Scale Factor and the Ratio of the Surface Areas and Volume10:14
 Extra Example 4: Find the Volume of the Larger Prism12:14
14m 12s
 Intro0:00
 Transformation0:04
 Rotation0:32
 Translation1:03
 Reflection1:17
 Dilation1:24
 Transformations1:45
 Examples1:46
 Congruence Transformation2:51
 Congruence Transformation2:52
 Extra Example 1: Describe the Transformation that Occurred in the Mappings3:37
 Extra Example 2: Determine if the Transformation is an Isometry5:16
 Extra Example 3: Isometry8:16
23m 17s
 Intro0:00
 Reflection0:05
 Definition of Reflection0:06
 Line of Reflection0:35
 Point of Reflection1:22
 Symmetry1:59
 Line of Symmetry2:00
 Point of Symmetry2:48
 Extra Example 1: Draw the Image over the Line of Reflection and the Point of Reflection3:45
 Extra Example 2: Determine Lines and Point of Symmetry6:59
 Extra Example 3: Graph the Reflection of the Polygon11:15
 Extra Example 4: Graph the Coordinates16:07
18m 43s
 Intro0:00
 Translation0:05
 Translation: Preimage & Image0:06
 Example0:56
 Composite of Reflections6:28
 Composite of Reflections6:29
 Extra Example 1: Translation7:48
 Extra Example 2: Image, Preimage, and Translation12:38
 Extra Example 3: Find the Translation Image Using a Composite of Reflections15:08
 Extra Example 4: Find the Value of Each Variable in the Translation17:18
21m 26s
 Intro0:00
 Rotations0:04
 Rotations0:05
 Performing Rotations2:13
 Composite of Two Successive Reflections over Two Intersecting Lines2:14
 Angle of Rotation: Angle Formed by Intersecting Lines4:29
 Angle of Rotation5:30
 Rotation Postulate5:31
 Extra Example 1: Find the Rotated Image7:32
 Extra Example 2: Rotations and Coordinate Plane10:33
 Extra Example 3: Find the Value of Each Variable in the Rotation14:29
 Extra Example 4: Draw the Polygon Rotated 90 Degree Clockwise about P16:13
37m 6s
 Intro0:00
 Dilations0:06
 Dilations0:07
 Scale Factor1:36
 Scale Factor1:37
 Example 12:06
 Example 26:22
 Scale Factor8:20
 Positive Scale Factor8:21
 Negative Scale Factor9:25
 Enlargement12:43
 Reduction13:52
 Extra Example 1: Find the Scale Factor16:39
 Extra Example 2: Find the Measure of the Dilation Image19:32
 Extra Example 3: Find the Coordinates of the Image with Scale Factor and the Origin as the Center of Dilation26:18
 Extra Example 4: Graphing Polygon, Dilation, and Scale Factor32:08
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0 answers
Post by Todd McKinney on December 9, 2014
You make it a lot easier to understand.
Thanks
1 answer
Last reply by: Mary Pyo
Sat Feb 4, 2012 12:48 AM
Post by Sanjay Nenawati on October 27, 2011
asa is does have a angle side relationship, because 180  a a= other angle. then you will have a side angle side relationship.