Question

5. In a APQR, if PQ = RQ and QS I PR then APQS = ARQS by:
a) SSS criterion b) SAS criterion C) ASA criterion d) RHS criterion​

Answer 1

Answer:

RHS congruency criterion

Explanation:

Given:

• Two triangles Δ PQR and Δ RQS in which:

1. PQ = RQ
2. QS ⊥ PR

To prove:

Δ PQR ≅ Δ RQS  

Proof:

In Δ PQR and Δ RQS,

1. ∠QSR = ∠QSP                                            [Each 90° when QS ⊥ PR ]
2. PQ = RQ                                                       [Given]
3. QS = QS                                                       [Common]

∴ Δ PQR ≅ Δ RQS                                                [R.H.S congruency criterion]

P.F.A the figure below:

Hope  you got that.

Thank You.

Answer 2

Answer:

hlo

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