Question

Which congruence criteria you use in the following?

• Given : AC= DF; AB = DE; BC = EF so ∆ABC=∆DEF.

• Given: ZX=RP;RQ=ZY;<PRQ=<XZY so ∆PQR=∆XYZ.​

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.