Question

Which congruence criterion do you use in the
following?
Given, ZX = RP, RQ = ZY, ZPRQ = ZXZY.
So, APQR = AXYZ.​

Answer 1

Answer:

By SAS congruence criterion,

since it is given that

RP=ZX, RQ=ZY and ∠PRQ=∠XZY.

The two sides and one angle in one of the triangle

are equal to the corresponding sides and the angle of

other triangle.

Therefore,

ΔPQR≅ΔXYZ.

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