Question

Given : ZX = RP,RQ = ZY,∠PRQ≅∠XZY So, ΔPQR≅ΔXYZ,Which congruence criterion do you use for it?

Answer 1

HELLO DEAR,

IN ∆ PQR and ∆XYZ

ZX = RP(given)

RQ = ZY (given)

<PRQ = <XYZ (given)

Hence, ΔPQR≅ΔXYZ by (SAS CRITERIA)

I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

In triangles ∆XYZ , ∆PQR

ZX = RP ( side )

<XZY = <PRQ ( angle )

ZY = RQ ( side )

Therefore ,

∆XYZ congruent to ∆PQR

[ SAS postulate ]

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SAS postulate :

If two sides and the included angle of one triangle are congruent to
two sides and the included angle of another
triangle , then these two
triangles are congruent.
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I hope this helps you.

: )