Question

50 POINTS!!!!!!!!!!!

DETERMINE THE METHOD THAT VERIFIES IF THESE TRIANGLES ARE CONGRUENT.
Congruent: YES or NO ?
Congruency Statement: ∆QRP ≅ ∆ ? Postulate: ?
(Postulates if the answer is yes: SSS, SAS, ASA, AAS, HL)
(Postulates if the answer is no: AAA, SSA)​

Answer 1

Congruent: YES

Congruency Statement: ∆QRP ≅ ∆TSP

Postulate: SAS

Explanation:

To determine the method that verifies if the given triangles are congruent, we can look at the given information and see which postulate applies.

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The information are as follows:

QP ≅ TP Given

angle QPR ≅ angle SPT Vertically Opposite Angle

PR ≅ PS Given

This information corresponds to the SAS postulate, which states that two triangles are congruent if their corresponding sides and angles are congruent.

Therefore, the method that verifies if the given triangles are congruent is the SAS postulate.