In this lesson we are going to go over points, lines, and planes. All geometric figures consist of points, an infinite number of points. A point is usually named by a capital letter, for example point A (x,y). The (x,y) represents the ordered pair. An important thing to remember about a line is that you can always draw a line through two points. Using this attribute, lines are often named by two points on them, but there are also some other ways to name them, which you'll learn in this lesson. A plane is a flat surface that extends indefinitely in all directions. You'll learn how planes are modeled and how planes are named.
A line passes through two points. Lines consist of an infinite number of points. A line is often named by two points on the line or by a lowercase script letter.
A plane is a flat surface that extends indefinitely in all directions. Planes are modeled by four-sided figures. A plane can be named by a capital script letter or by three non-collinear points in the plane
Points, Lines and Planes
Which quandrant does each point belong to?
A(1, 4) B( − 7, 10) C(9, − 2) D( − 15, − 4)
Quandrant I ( + , + ), Quandrant II ( − , + ), Quandrant III ( − , − ), Quandrant IV ( + , − )
Point A belongs to Quandrant I, Point B belongs to Quandrant II, Point C belongs to Quandrant IV, Point D belongs to Quandrant III.
Write the coordinates for the points on the following coordinate plane
A(4, 5), B(3, 0), C( − 1, 2), D( − 4, − 3)
Graph each point on the coordinate plane
A(0, 0), B(1, 4), C( − 2, − 6), D( − 4, − 4)
Points A(0, 0), B( − 2, − 3) and C(4, 6) are colinear. Find out whether each of the following points is colinear with A,B, C or not.
D( − 4, − 6), E(0, 1), F( − 2, 3)
Graph points D, E and F on the same coordinate plane as A, B and C.
Point D is colinear with A, B and C; Points E and F are not colinear with A, B and C.
Line y = 3x + 1 passes through points (0, 1), (1, 4) and ( − 1, − 2), what quandrants does this line go through?
This line passes through Quandrants I, II and III.
Write 2 points in Quandrant I that lie on the line y = x − 2
Points in Quandrant I are ( + , + )
(3, 1) (6, 4)
Write 2 points in Quandrant IV that lie on line y = − 2x + 1
Points in Quandrant IV are ( + , − )
(1, − 1) (3, − 5)
Decide whether the line that passes through points A(1, 1) and B (2, 3) also passes through originate.
Graph points A, B and the line passes through them on a coordinate plane.
On the image, the line doesn't pass through the originate.
Graph a line that passes through A ( − 5, − 2) and B ( − 1, 3).
Graph a line that passes through A(1, 4) and B( - 2, - 4).
*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.
Points, Lines and Planes
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.