Question

In the given figure, we have PQ = SR and PR =SQ.
Prove that:
(i) PQR congruent SRQ
(ii) angle PQR = angle SRQ
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Answer 1

Step-by-step explanation:

∆LMN with LM – 8 cm, MN – 10 cm, ∠M – 60°

Also, draw another ∆XYZ with XY = 8cm, YZ = 10cm, ∠Y= 60°.

We see that LM = XY, AC = ∠M = ∠Y and MN = YZ

Side Angle Side Congruence

Make a trace copy of ∆XYZ and try to make it cover ∆LMN with X on L, Y on M and Z on N.

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Answer 2

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In △PQR and △SRQ,

PQ=SR(Given)

QR=QR(Common)

PR=SQ(Given)

By SSS property,

△PQR≅△SRQ

Hence proved.

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