Quiz on Reflections and Translations

Good Luck to ______Date______Period______

Circle the correct answer for 1-9.

1. 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)

2. Identify the coordinates of the image point formed by reflecting (3, -6) across the x-axis.

[A] (3, 6) [B] (-3, -6) [C] (3, -6) [D] (-3, 6)

3. What is the reflection image of (-7, -1) across line y = x?

[A] (7, 1) [B] (1, 7) [C] (-1, -7) [D] (-7, 1)

4. A point Q with coordinates (8, 6) is reflected across the y-axis. What are its new coordinates?

[A] (-8, 6) [B] (8, -6) [C] (-8, -6) [D] (6, 8)

5. Suppose a constellation of stars is plotted on a coordinate plane. The coordinates of the first star are at (4, 1). The star is translated left 5 units. What are its new coordinates?

[A] (-1, 1) [B] (4, 6) [C] (9, 1) [D] (4, -4)

6. Write the translation of point P(2, -9) to point P’(-1,-11).

[A] x, y  x  3, y  2 [B] x, y  x  3, y  2

[C] x, y  x  2, y  3 [D] x, y  x  2, y  3 7. What is the translation image of (2, -7) if the translation mapped P (9, 6) to P’ (11, 2)?

[A] (2, -4) [B] (0, -3) [C] (-2, 4) [D] (4, -11)

8. What is the translation image of (8, -7) under the translation (x, y)  (x – 4, y – 2)?

[A] (12, -5) [B] (4, -5) [C] (12, -9) [D] (4, -9)

9. At the half time show, the marching band marched information. The lead drummer started at coordinate (4, 3). She moved 3 down. What were the new coordinates of her final position?

[A] (1, 3) [B] (4, 0) [C] (7, 3) [D] (7, 6)

10. Graph the triangle whose vertices have the coordinates given below. Then draw its reflection over the x-axis. Be sure to label triangle MNP and triangle M’N’P’.

M (-7, 2) N (-3, 2) P (-3, 6)