Question

Are these two ladders the same length?

A. No, the triangles aren’t congruent, so sides formed by the ladders aren’t equal.

B. Yes, because the triangles are congruent, by the SAS postulate.

C. Yes, because the triangles are congruent, by the AAS postulate.

D. It is impossible to tell from the information provided.

Answer 1

Answer: B

Explanation:

The bases are both 2.5 so those sides are congruent.

The angles from the base perpendicular to the (wall) are both 90° so those angles are congruent.

The (wall) is congruent to itself by the reflexive property so those sides are congruent.

Therefore, the triangles are congruent to each other by the Side-Angle-Side Congruency Postulate.

Thus, the ladders are congruent by CPCTC