Question

Can TSR and QRS be proven congruent by SAS?

Answer 1

D. No, because not enough is information given to prove the triangles congruent by SAS

Answer 2

(D)No, because there is no enough information to prove that the triangles are congruent by SAS rule.

Explanation:

It is given that TS=QR=5 inches and ∠T=∠Q=66°. Then from ΔTSR and ΔQRS, we have

SAS rule states that:

If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

Since, in the ΔTSR and ΔQRS, we are given that TS=QR=5 inches and ∠T=∠Q=66° but there is no relation given such that the sides TR and QS shoulf be equal or any other information regarding the point P is not given, thus there is no enough information to prove that the triangles are congruent by SAS rule.

Hence, option D is correct.