Properties of Transformation Questions and Answers

Question: Select the correct answer.

1. When a figure is translated, its orientation 

remains the same

changes 

and the measures of its angles 

remain the same

change.

Answer: When a figure is translated, its orientation remains the same and the measures of its angles remain the same.

2. A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appear?

A. first quadrant

B. second quadrant

C. third quadrant

D. fourth quadrant

Answer: C. third quadrant

3. A figure in the second quadrant is reflected over the y-axis. In which quadrant will the reflected figure appear?

A. first quadrant

B. second quadrant

C. third quadrant

D. fourth quadrant

Answer: A. first quadrant

4. A quadrilateral in the third quadrant is rotated 90° clockwise about the origin. Which quadrant will the transformed quadrilateral be in?

A. first quadrant

B. second quadrant

C. third quadrant

D. fourth quadrant

Answer: B. second quadrant

5. Quadrilateral UVWX is reflected over the x-axis to form quadrilateral U′V′W′X′.

If vertex U is located at (-4, 5) and vertex V is located at (-6, 2), then vertex U′ is located at 

(-4, 5)

(4, -5)

(-4, -5)

(4, 5) 

and vertex V′ is located at 

(-6, -2)

(6, 2)

(6, -2)

(-6, 2).

Answer: Quadrilateral UVWX is reflected over the x-axis to form quadrilateral U′V′W′X′.

If vertex U is located at (-4, 5) and vertex V is located at (-6, 2), then vertex U′ is located at (-4, -5) and vertex V′ is located at (-6, -2).