Question

Based on the drawing, Which can be used to prove PQR ≅ STV?

1. SSS
2. SAS
3. ASA
4. AAS

Answer 1

SAS

Explanation:

GIVEN: PR ≅ SV (side)

GIVEN: ∠R ≅ ∠V (angle)

GIVEN: QR ≅ TV (side)

Answer 2

Option (2) is correct.

Based on the drawing, SAS can be used to prove PQR ≅ STV

Explanation:

We have to find the criterion by which the two given triangle can be prove similar from the given options.

Consider, the given triangles from the drawing given

ΔPQR and ΔSTV,

PR = VS (Given)

∠QRP = ∠TVS ( Given)

and, QR = TV (given)

Thus, PQR ≅ STV ( SAS CRITERION)

For SAS criterion , we need to show that two sides and the angle between those sides are equal .

Thus, option (2) is correct.