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In the figure, given below, straight lines AB and CD intersect at P; and AC || BD. Prove that: ΔAPC and ΔBPD are similar. - Mathematics

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प्रश्न

In the figure, given below, straight lines AB and CD intersect at P; and AC || BD. Prove that: ΔAPC and ΔBPD are similar.

योग
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उत्तर

In ΔAPC and ΔBPD,

∠APC = ∠BPD  ...(Vertically opposite angles)

∠ACP = ∠BDP  ...(Alternate angles since AC || BD)

ΔAPC ∼ ΔBPD  ...(AA criterion for similarity)

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