Question

# Which congruence criterion do you use in the following?Given: RP$$=$$ZX, RQ$$=$$ZY, $$\angle$$PRQ$$=\angle$$XZY. So $$\Delta$$PQR$$\cong\Delta$$XYZ.

Solution

## By SAS congruence criterion, since it is given that $$RP$$=$$ZX$$, $$RQ$$=$$ZY$$ and $$\angle$$PRQ$$=\angle$$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, $$\Delta$$PQR$$\cong\Delta$$XYZ.MathematicsNCERTStandard VII

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