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)