Question

Which reason completes the proof?A. Corresponding sides of similar triangles are proportional.B. Corresponding parts of similar triangles are congruent.C. Corresponding parts of congruent triangles are congruent.D. Corresponding sides of congruent triangles are proportional.

Answer 1

A. Corresponding sides of similar triangles are proportional.

Explanation:

Answer 2

A. Corresponding sides of similar triangles are proportional.

1) Note that these triangles Δ ABC and Δ ACD are similar as well as Δ ABC ~Δ CBD in step 3.

2) So we can make use of a property of similar triangles and write down some ratios with them. Similar triangles have proportional sides and congruent angles.

3) Thus, we can state that:

A. Corresponding sides of similar triangles are proportional.