in the given figure ABCD is a square M is the midpoint of AB and PQ. CM meets A D at P and C B produced at Q prove that .1 PA=BQ, 2. CP=AB+PA..
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Proof:
(i)
In ∆ PAM and ∆ QBM
angle PAM = angle QBM ( right angles )
AM = BM ( M is the midpoint of AB)
angle PMA = angle QMA ( vertically opposite angles)
So, ∆PAM congruent to ∆QBM [ SAS congruence Rule ]
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