Question

Triangle c undergoes a 180 degree counterclockwise rotation about the origin and then a dilation by a scale factor of 1/2. The resulting triangle is Which statements about triangles C and D is true?

A .they are congruent but not similar
B .they are similar but not congruent
C. they are neither congruent or simila

Answer 1

Option B). Triangle C undergoes a 180 degree counterclockwise rotation about the origin, followed by a dilation by a scale factor of 1/2. The resulting triangle is similar to triangle C, but not congruent.

Step-by-step explanation:

Triangle C rotates around the origin 180 degrees counterclockwise. This indicates that triangle C's vertices are all 180 degrees counterclockwise rotated around the origin. The resultant triangle is then enlarged by a scale factor of half. Accordingly, the length of each side of the triangle that results is half that of the corresponding side of triangle C.

As a result, while not congruent, the resulting triangle resembles triangle C.