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

  C)  Reflection about the origin

Step-by-step 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°.)

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.