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# From the given figures, find by which criteria the two triangles ABC and PQR are congruent.

In the figure XY = PZ. Prove that XZ = PY.

In the figure XY = PZ. Prove that XZ = PY.

Hint:

### Find the missing angle and find the congruence rule used.

## The correct answer is: ASA congruence rule

### In ΔABC, We have

( Sum of interior angles of a triangle is 180)

Likewise, In ΔPQR, We have

( Sum of interior angles of a triangle is 180)

If we consider ΔABC and ΔPQR, we have

AB = RQ

(from the figure)

So, by ASA congruence rule we have

ΔABC⩭ ΔRQP

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