This document contains practice problems involving transformations of geometric figures. It describes translating a solid figure to a dashed figure by sliding it right 1 unit and up 2 units. It then asks students to name transformations shown in graphs, including translations. Finally, it provides problems involving rotating and translating triangles described by their vertices.

1. SON Name ____________________________________________________ Date __________
LES
8.7 Practice409–413 B
For use with pages
Describe the translation from the solid figure to the dashed figure.
1. 2. 3.
y y y
4 6 6
3 5 5
2 4 4
3
4x
O 1 2 3
4 3
1 1
5x 5x
O O
1 2 3 4 1 2 4
3 2 2
3
4 2
In Exercises 4–6, name the transformation shown in the graph.
4. 5. 6.
y y y
4 4 4
3 3
2 2
1 1 1
4x 4x 4x
O O O
1 2 3 1 2 3 3
4 3 2 4 3 2 3 2
Lesson 8.7
2 2
3 3 3
4 4 4
7. TXYZ has vertices X(2, 2), Y(3, 5), and Z(7, 4). Find the vertices of
its image after the translation (x, y) → (x  3, y  2).
8. TLMN has vertices L(2, 3), M(2, 6), and N(0, 1). Find the vertices of
its image after the translation (x, y) → (x  1, y  4).
In Exercises 9–14, graph TABC with vertices A(  B( 
4, 1), 6, 5),
and C(  Then graph its image after the given transformation.
1, 8).
9. Rotate 180°.
10. Rotate 90° counterclockwise.
11. Translate using (x, y) → (x  3, y  1).
12. Rotate 180° then translate using (x, y) → (x  1, y  3).
13. Rotate 90° clockwise three times.
14. Translate using (x, y) → (x  2, y  4) then translate using
(x, y) → (x  3, y  1).
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Chapter 8 Resource Book