This document contains a math practice worksheet involving transformations of coordinates under rotations and translations. Students are asked to identify the coordinates resulting from 90 and 180 degree rotations, name transformations shown in graphs, match transformations to graphs, graph triangles and their images under given sequences of transformations. The document provides practice with key concepts and skills around geometric transformations.

1. SON Name ____________________________________________________ Date __________
LES
8.7 Practice409–413 A
For use with pages
Complete the statement.
1. In a 90° _____________ rotation, the coordinates (x, y) become (y, x).
2. In a 90° _____________ rotation, the coordinates (x, y) become (y, x).
3. A 180° rotation changes the coordinates from (x, y) to _____________.
Name the transformation shown in the graph.
4. 5. 6.
y y y
4 4 4
3 3 3
2 2
1 1 1
4x 4x 4x
O O O
1 2 3 1 2 3 1 2 3
4 3 2 4 3 2 4 3 2
2 2
3 3
4 4
Match the given transformation with the graph.
Lesson 8.7
8. translation (x, y) →
7. rotation 90° clockwise 9. rotation 180°
(x  1, y  1)
A. B. C.
y y y
4 4
3 3 3
2 2 2
1 1 1
4x 4x 4x
O O O
1 2 3 1 2 3 1 2 3
4 3 2 4 3 2 4 3 2
2 2 2
3 3 3
4 4 4
Graph TABC with vertices A(7, 3), B(4, 6), and C(1, 0). Then graph its
image after the given transformation.
10. Rotate 90° counterclockwise.
11. Translate using (x, y) → (x  2, y  3).
12. Rotate 180° then translate using (x, y) → (x  3, y  1).
13. Rotate 90° clockwise three times.
14. Translate using (x, y) → (x  1, y  2) then translate using
(x, y) → (x  4, y  3).
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Middle School Math, Course 3
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