Question

a) In Fig. 2, AP = PD and CP = PB. Show that


AB || CD
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Answer 1

Answer:

AP = PD

CP=PB

AND AT THE VERTEX OF TRIANGLE CONNECTED TO ANOTHER TRIANGLE'S VERTEX

SO THAT WILL BE A VERTICALLY OPPOSITE ANGLES

SO BY CONGRUENCE WE HAVE PROVED THAT BOTH TRIANGLES ARE EQUAL

SO NOW THERE OPPOSITE ANGLES ARE ALSO EQUAL

WHICH MEANS THEY ARE ALTERNATE ANGLES

BY CPCT

SO NOW WE CAN PROVE BY THE CONVERSE OF ALT. ANGLE THEORM

AB||CD