135Course 3 • Chapter 6 Transformations

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Test, Form 1BWrite the letter for the correct answer in the blank at the right of each question.

For Exercises 1–6, triangle PQR has vertices as shown.

y

x

1. If the figure is translated 6 units down, what are thecoordinates of R'?A. (-3, 3) C. (-3, -3)B. (3, -3) D. (3, 3)

2. If the figure is translated 1 unit left and 2 units down, what arethe coordinates of Q′?F. (3, 1) H. (-3, 1)G. (3, -1) I. (-3, -1)

3. If the figure is rotated 270° clockwise about the origin, what arethe coordinates of Q′?A. (-4, 1) C. (-1, -4)B. (4, -1) D. (-1, 4)

4. If the figure is reflected over the y-axis, what are thecoordinates of P'?F. (-1, -1) H. (1, -1)G. (-1, 1) I. (1, 1)

5. If the figure is dilated using a scale factor of 3, what are thecoordinates of R'?A. (-9, 9) C. (-9, -9)B. (9, -9) D. (9, 9)

6. If the figure is reflected over the x-axis, what are the coordinates of Q'?

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P rinterP DF

F. (4, 1) H. (4, −1)G. (−4, 1) I. (−4, −1)

136 Course 3 • Chapter 6 Transformations

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Test, Form 1B (continued)Test, Form 1B (continued)

7. Triangle LMN has vertices L(-1, 4), M(-2, 4), and N(-1, -1). What are the coordinates of the image of point M after a dilation with a scale factor of 3?

A. M′(-6, 12) C. M′(-2, 12) B. M′(-6, 4) D. M′(12, -6)

8. Triangle RST has vertices R(-1, 1), S(3, 1), and T(3, -4). What are the coordinates of the image of �RST after a translation 4 units to the left and 2 units down?

F. R′(-5, 1), S′(-1, 1), and T′(-1, -4)

G. R′(-5, -1), S′(3, -1), and T′(-1, -4)

H. R′(-1, -1), S′(3, -1), and T′(3, -6)

I. R′(-5, -1), S′(-1, -1), and T′(-1, -6)

9. Quadrilateral WXYZ has vertices W(-3, 4), X(-3, 1), Y(2, 1), and Z(2, 4). What are the coordinates of the image of point W after a reflection across the y-axis?

A. W′(3, 4) C. W′(-3, -4) B. W′(3, -4) D. W′(4, -3)

10. Triangle PQR has vertices P(6, 5), Q(6, 10), and R(0, 5). What are the coordinates of the image of point P after the triangle is rotated 180° clockwise about the origin?

F. P′(-6, 5) H. P′(5, 6) G. P′(-6, -5) I. P′(5, -6)

11. The graph shows segment M′N′ is a dilation of segment MN. What is the scale factor of the dilation?

A. 4 C. 1 −

2

B. 2 D. 1 −

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P rinter P DF