Question

In ΔPQR and ΔXYZ, ∠P = ∠X and ∠Q = ∠Y. The two triangles will be congruent by AAS axiom if

A)PR = XY
B)PR = YZ
C)PQ = YZ
D) QR = YZ

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Answer 1

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Given:

In triangle PQR and triangle XYZ , PQ = XZ and QR = YZ.

To Find:

what additional information is required to make the two triangle congruent by SSS congruence condition?

Solution:

SSS congruent condition

SSS - side - side - side

corresponding sides should be equal

In triangle PQR and triangle XYZ,

PQ = XZ

QR = YZ

PR = XY (Required)

=> ∆PQR  ∽ XYZ