1.

ABCD is a rectangle Pis the midpoints of AB,Q and R are points in AD and BC respectively such that AQ =BR .Prove that PQ=PR

Answer»

In the given sum two triangles will form
for them
in ΔAPQ and ΔPRB
AQ=BR (given)
angleQAP=angleRBP (90 rectngle)
AP=BP ( p is midpoint)

so, ΔAPQ SIMILER ΔPBR ( s-a-s)

so, for SURE PQ=PR (PROVED)


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