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ABCD is a parallelogram and AP and CQ ar...

ABCD is a parallelogram and AP and CQ are the perpendiculars from vertices A and C on its diagonal BD (See fig.) Show that `Delta APB ~= Delta CQD`.

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In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see Fig. ) Show that Delta AQB ~= Delta CPD .

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Line l is the bisector of an angle angle A and B is any point on l. BP and BQ are perpendiculars from B to the arms of angle A (see Fig. 7.20). Show that: (i) triangle APB cong triangle AQB (ii) BP = BQ or B is equidistant from the arms of angle A .