Question

please say why does AP ≠ AP but
why ∠BAP=∠CAP

I mean why it is not SAS rule but why it is ASA rule

Answer 1

This is because:
in triangle BAP and triangle CAP ,

AB = AC (given)
angle B = angel C (corresponding angles of equal sides are equal)
angle BAP = angle CAP (CPCT of equal triangle ADB and CAD )

Therefore, by ASA ,
triangle BAP = triangle CAP.

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