Question

By applying SAS congruence rule, you want to establish that triangle PQR =~ triangle KLM. It is given that PQ = KL and RP = MK. What additional information is needed to establish the congruence?​

Answer 1

Explanation:

To establish the congruence of two triangles using the SAS (Side-Angle-Side) congruence rule, we need to know that two corresponding sides and the included angle are congruent.

In the given information, PQ = KL and RP = MK, but we do not know the measure of any included angle between the corresponding sides. Therefore, we need to know at least one angle that is congruent in both triangles to apply the SAS congruence rule.

Without additional information about an included angle, we cannot establish the congruence of triangle PQR and triangle KLM using the SAS congruence rule.