The coordinate plane is a grid formed by two number lines: the horizontal x-axis and the vertical y-axis. Their intersection is the origin (0, 0). The axes divide the plane into four quadrants.
How to Graph an Ordered Pair (x, y)
Fill in the blanks below to describe the process of graphing a point.
Always start at the origin, which is the point (0, 0).
The first number is the x-coordinate. A positive 'x' tells you to move , and a negative 'x' tells you to move .
The second number is the y-coordinate. A positive 'y' tells you to move , and a negative 'y' tells you to move .
Vocabulary for Transformations
Preimage: The original figure before a transformation.
Image: The new figure after a transformation. We label the image's points with a prime symbol (e.g., A').
Part 2: Practice Problems
A. Identifying Coordinates
Instructions: Write the ordered pair (x, y) for each point shown on the graph.
Point A: (____, ____)
Point B: (____, ____)
Point C: (____, ____)
Point D: (____, ____)
B. Plotting Points
Instructions: Plot and label the following points on the coordinate plane below.
E = (2, 5)
F = (-3, 7)
G = (-5, -2)
H = (8, -4)
J = (0, 6)
K = (-7, 0)
C. Plotting a Preimage
Instructions: Plot the following points on the coordinate plane below and connect them to create the preimage, Triangle LMN.