Question

Which postulate or theorem proves that △QRS and △TRS are congruent?



Responses

​HL Congruence Theorem​
​ H L congruence theorem ​

SSS Congruence Postulate
S S S congruence postulate

​SAS Congruence Postulate​
​ S A S congruence postulate ​

​AAS Congruence Theorem​
​ A A S congruence theorem ​
Triangle Q R S and triangle T R S share side R S. Segment Q S and segment T S share one congruent mark. Angle R S T is marked as a right angle.

Answer 1

SAS Congruence Postulate.

Reason: QS = TS (given), RS = RS (shared), and the angles at S in the two triangles are both right angles (so the included angles are congruent). Thus by SAS the triangles are congruent.