Question

you need help on a geometry exercise. your friends paper is shown to the right. what error did your friend make? explain. choose the correct answer below. a. the asa postulate cannot be used to prove the congruence of the two triangles as shown because the included sides between the two pairs of congruent angles are not marked as congruent. b. the asa postulate cannot be used to prove the congruence of the two triangles as shown because the triangles do not have two pairs of congruent angles. c. your friends paper does not name the triangles correctly for them to be congruent. d. your friends paper shows that the sas postulate should be used to show congruence because a pair of congruent angles is included between two pairs of congruent sides.

Explanation:

Step1: Recall ASA postulate

The ASA (Angle - Side - Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Analyze the figure

In the given figure, for the claim of $\triangle LMN\cong\triangle QRS$ by ASA, we need two pairs of congruent angles and the included side between them to be congruent. If the included sides between the two pairs of congruent angles are not marked as congruent, we cannot use ASA.

Answer:

A. The ASA Postulate cannot be used to prove the congruence of the two triangles as shown because the included sides between the two pairs of congruent angles are not marked as congruent.