Question

Determine which diagram could be used to prove △ABC ~ △EDC using similarity transformations.

a. Triangle ABC is rotated about point C and then dilated to form triangle CED.
b. Triangle ABC is reflected across point C and then is rotated to form triangle CED.
c. Triangles ABC and CED do not have congruent angle measures.
d. Both diagrams a and b can be used to prove the similarity of the triangles.

Answer 1

The correct diagram that can be used to prove △ABC ~ △EDC using similarity transformations is a. Triangle ABC is rotated about point C and then dilated to form triangle CED.

Step-by-step explanation:

The correct diagram that could be used to prove △ABC ~ △EDC using similarity transformations is a.

Triangle ABC is rotated about point C and then dilated to form triangle CED.

In similarity transformations, the two triangles must have proportional corresponding sides and congruent corresponding angles. In diagram a, triangle ABC is rotated about point C and then dilated to form triangle CED.

This transformation preserves both the ratios of corresponding sides and the congruent corresponding angles, proving the similarity of the triangles.