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: ___________________________________________________________________
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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:___________________________________________________________________
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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:____________________________________________________________________
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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:____________________________________________________________________
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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:____________________________________________________________________
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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:____________________________________________________________________
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7. Write the translation of point P(3, 4) to point P’(-1, 9).
[A]
[C]
   x , x x


4 ,
4 , y y


5
5


[B]
[D]
   x , x x


5 ,
5 , y y


4

4

Method:____________________________________________________________________
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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:____________________________________________________________________
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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:____________________________________________________________________
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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)