Question

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

​ AAS Congruence Theorem ​

​ HL Congruence Theorem ​

SSS Congruence Postulate

​ SAS Congruence Postulate ​

Answer 1

SAS

Explanation:

Answer 2

Option D is correct.

SAS Congruence Postulates

Explanation:

In Δ QRS and Δ TRS

`QS \cong ST` [Side] [Given]

`RS \cong RS` [Common Side] [Given]

`\angle RSQ \cong \angle RST = 90^(\circ)` [Angle]

SAS(Side- Angle -Side) postulates states states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Then, by SAS postulates

`\triangle QRS \cong \triangle TRS`