Question

prove the following
please​

Answer 1

Step-by-step explanation:

From ΔAPN and ΔAPM,

PN = PM (given)

angle ANP = angle AMP ( perpendicular 90 degree)

AP = AP ( common side)

By SAS –

ΔAPN ~( congruent) to ΔAPM

Therefore, AP bisects angle MAN

Answer 2

Answer:

Here it is

Step-by-step explanation:

In triangles MAP and NAP,

Angle AMP=Angle ANP=90°

MP=NP

AP=AP (common side)

So, the two triangles AMP and ANP are congruent through the RHS criterion

Therefore, AP is the bisector of angle MAN

(since Angle MAP=Angle NAP)

(congruent parts of congruent triangles are always equal)