Question

Describe the transformation from triangle DEF to triangle D′E′F′ in the figure. Question 17 options:

A) Transformation down 8 units and right 6 units
B) Rotation 90° counterclockwise about the origin
C) Reflection about the origin
D) Rotation 90° clockwise about the origin

Answer 1

C) Reflection about the origin

Explanation:

DE points to the right and slightly down. D'E' points to the left and slightly up. The segments are parallel, not perpendicular, so represent a rotation of 180°, not 90°. If the figure were subject only to translation, these segments would point in the same direction.

The transformation is a reflection about the origin (C). (This is equivalent to a rotation of 180°.)