Grade 7 Rotations Worksheet

Grade 7: Rotations Worksheet

Read each question carefully and follow the instructions to rotate points and shapes on the coordinate plane. Show all your work.

1. What is a rotation in geometry?

2. What are the three key pieces of information needed to describe any rotation?

Complete the rotation rules for a point (x, y) around the origin (0, 0):

1. 90° clockwise rotation: (x, y) → ( )

2. 90° counter-clockwise rotation: (x, y) → ( )

3. 180° rotation (clockwise or counter-clockwise): (x, y) → ( )

Plot the point A(3, 2) on the graph below. Then, rotate point A 90° counter-clockwise around the origin and label the new point A'. What are the coordinates of A'?

Coordinates of A':  

Plot the triangle with vertices B(1, 1), C(4, 1), and D(1, 4) on the graph below. Rotate the triangle 180° around the origin and label the new vertices B', C', and D'. What are the coordinates of the new vertices?

Coordinates of B':  

Coordinates of C':  

Coordinates of D':