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)
[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’ (-8, -4)
C’ (-2, -1)
2. Rectangle P’Q’R’S’ is the dilation of rectangle PQRS. What is the scale factor of the dilation?
1
1
[A] 2
[B] 3
[C]
[D]
3
2
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] ( 
4
4
, )
3
3
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)
7. Write the translation of point P(2, -9) to point P’(5,-7).
[A] x, y   x  3, y  2
[C]
x, y   x  2, y  3
[B] x, y   x  3, y  2
[D]
x, y   x  2, y  3
[D] (-6, 18)
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]
1
3
[D]
1
2
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
1
of
and the origin as the center of dilation. Be sure to label triangle MNP and triangle M’N’P’.
3
M (-9, 3) N (-3, 6) P (-3, -9)