Question

show that i) triangle DAP congruent EBP...................

Answer 1

in triangle DAP and EBP:

angle BAD = angle ABE

since P is the midpoint of AB,

AP = PB

since angle EPA = DPB

angle DPA = EPB

hence DAP congruent to EBP by SAS

Answer 2

In ▲ DAP and ▲EBP
angle DAP=angle EBP (Given)
AP=PB (P is the mid point of AB)
angle EPA=angle DPB (Given)
angle EPA+angle EPD=angle DPB+angle EPD
angle APD=angle BPE
▲DAP congruent▲EBP (By ASA congruency)
AD=BE (C.P.C.T)