Question 27 Answer and Explanation _ACT April 2014 Form 71H Math Section

27. All of the following statements concern triangles that are similar, congruent, or both. Which statement is FALSE ?

A. Triangles that are congruent to each other are always similar to each other.

B. Lengths of corresponding sides of similar triangles are always equal.

C. Lengths of corresponding sides of congruent triangles are always equal.

D. Measures of corresponding angles of similar triangles are always equal.

E. Measures of corresponding angles of congruent triangles are always equal.

Answer and Explanation

Your Answer is

Correct Answer is B

Explanation

Attention is the wrong option. The lengths of the corresponding sides of similar triangles are not necessarily equal, so B is wrong. "Congruent triangles must be similar", "Congruent triangles have corresponding sides equal", "Congruent triangles and similar triangles have corresponding angles equal" are all correct.