Question

In triangle ABC, the sides AB and AC are equal. If P and Q are the points on AB and AC such that AP= AQ, then prove that triangle APC is congruent to triangle AQB. Al so write the criteria of congruency

answer Fast please

Answer 1

Step-by-step explanation:

Solution

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REF. Image.

Given AB=AC

and AP=AQ

Thus

AB-AP=AC-AQ

[BP=CA ] [from figure ]

now InΔBCP & ΔBCQ

BP = CQ

∠c=∠c [common]

and BC=BC [common]

∴ΔBCP≃ΔBCQ [SAS congruency]

now

[BQ=CP] [corresponding parts of congruent triangles]