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Review on Reflections and Translations
Name_____________________________________Date_______________Period____________
Choose the correct answer. Write a sentence explaining the method you used to find the solution.
1. A point P has coordinates (8, 7). What are its new coordinates after reflecting point P across the y-axis?
[A] (8, -7)
[B] (8, 7)
[C] (-8, 7)
[D] (-8, -7)
Method: ___________________________________________________________________
___________________________________________________________________
2. Identify the coordinates of the image point formed by reflecting (-4, 1) across the y-axis.
[A] (-4, -1)
[B] (-4, 1)
[C] (4, -1)
[D] (4, 1)
Method:___________________________________________________________________
___________________________________________________________________
3. What is the reflection image of (-6, 3) in the x-axis?
[A] (-6, 3)
[B] (-6, -3)
[C] (6, -3)
[D] (6, 3)
Method:____________________________________________________________________
_____________________________________________________________________
4. Suppose a constellation of stars is plotted on a coordinate plane. The coordinates of the first star are at
(-3, -2). The star is translated right 3 units. What are its new coordinates?
[A] (-6, -2)
[B] (0, -2)
[C] (-3, 1)
[D] (-3, -5)
Method:____________________________________________________________________
_____________________________________________________________________
5. What is the translation image of (-1, -3) if the translation mapped point P (-5, 1) to P’ (-4, 0)?
[A] (0, -4)
[B] (1, -5)
[C] (1, -3)
[D] (-1, 3)
Method:____________________________________________________________________
_____________________________________________________________________
6. What is the translation image of (-3,6) under the translation (x, y)  (x – 3, y – 1) ?
[A] (0, 7)
[B] (0, 5)
[C] (6, 5)
[D] (-6, 5)
Method:____________________________________________________________________
___________________________________________________________________
7. Write the translation of point P(3, 4) to point P’(-1, 9).
[A] x, y   x  4, y  5
[B] x, y   x  5, y  4
[C] x, y   x  4, y  5
[D] x, y   x  5, y  4
Method:____________________________________________________________________
_____________________________________________________________________
8. At the half time show, the marching band marched in formation. The lead drummer started at coordinate
(1, -5). She moved 4 left. What were the new coordinates of her final position?
[A] (5, -5)
[B] (1, -5)
[C] (-5, -5)
[D] (1, -9)
Method:____________________________________________________________________
_____________________________________________________________________
9. A point Q with coordinate (5,1) is reflected across the line y = x. What are its new coordinates?
[A] (5, -1)
[B] (-5, 1)
[C] (-5, -1)
[D] (1, 5)
Method:____________________________________________________________________
_____________________________________________________________________
10. Graph the triangle whose vertices have the coordinates given below. Then draw its reflection over the
x-axis.
M(-6, 3), N(-2, 3), P(-6, 8)