Quiz on Reflections and Translations

Review on Reflections, Translations, and Dilations

Good Luck to ______Date______Period______

Circle the correct answer for 1-9.

1. Which of the following is a dilation of triangle ABC with center of dilation (0,0)?

[A] A’ ( 4, 14) B’ (10, -12) C’ (-8, -4)

[B] A’ ( 4, 14) B’ (5, -6) C’ (-8, -2)

[C] A’ ( 1, 3.5) B’ (5, -6) C’ (-2, -1)

[D] A’ ( 2, 7) B’ (10, -12) C’ (-2, -1)

2. Rectangle P’Q’R’S’ is the dilation of rectangle PQRS. What is the scale factor of the dilation?

[A] 2 [B] 3 [C] [D]

3. A point P has coordinates (-1, 4). What are its new coordinates after reflecting point P across the x-axis?

[A] (-1, 4) [B] (1, 4) [C] (1, -4) [D] (-1, -4)

4. What is the reflection image of (-2, 1) across line y = x?

[A] (-2, 1) [B] (1, -2) [C] (-1, -2) [D] (-2, -1)

5. Rectangle EFGH is dilated with the origin as the center of dilation by a scale factor of 3. What will be the dilated coordinate of point H?

[A] (-4, -4) [B] (1, -2) [C] (-12, -12) [D] (,)

6. A point Q with coordinates (18, -6) is reflected across the y-axis. What are its new coordinates?

[A] (-18, 6) [B] (-18, -6) [C] (-18, 6) [D] (-6, 18)

7. Write the translation of point P(2, -9) to point P’(5,-7).

[A] [B]

[C] [D]

8. The coordinates of the preimage triangle DEF are D ( 4, 5), E (9, 2), F (12, -6). The coordinates of the image triangle D’E’F’ are D’( 2, 2.5), E’( 4.5, 1), F’ ( 6, -3) . What is the scale factor from the preimage to the image if the center of dilation is (0,0)?.

[A] 2 [B] 3 [C] [D]

9. Triangle LMN is dilated by a scale factor of 1.5 with the origin as the center of dilation. Find the coordinate of point L’. Will L’M’N’ be a reduction or an enlargement?

[A] (3, 10.5) ; a reduction [B] (3, 10.5) ; an enlargement

[C] (-3, -4.5) ; a reduction [B] (-3, -4.5) ; an enlargement

10. Graph the triangle whose vertices have the coordinates given below. Draw its dilation using a scale factor of and the origin as the center of dilation. Be sure to label triangle MNP and triangle M’N’P’.

M (-9, 3) N (-3, 6) P (-3, -9)