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In fig., seg AC and seg BD intersect each other at point P. APPCBPPDAPPC=BPPD then prove that ΔABP ~ ΔCDP - Geometry Mathematics 2

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Question

In fig., seg AC and seg BD intersect each other at point P.


`"AP"/"PC" = "BP"/"PD"` then prove that ΔABP ~ ΔCDP

Sum

Solution

In ΔABP and ΔCDP,

`"AP"/"PC" = "BP"/"PD"`    ......[Given]

∠APB ≅ ∠CPD     .......[Vertically opposite angles]

∴ ΔABP ~ ΔCDP   .......[SAS test of similarity]

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Chapter 1: Similarity - Q.2 (B)

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