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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

In the above figure, seg AC and seg BD intersect each other in point P. If APCPBPDPAPCP=BPDP, then complete the following activity to prove - Geometry Mathematics 2

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प्रश्न


In the above figure, seg AC and seg BD intersect each other in point P. If `("AP")/("CP") = ("BP")/("DP")`, then complete the following activity to prove ΔABP ∼ ΔCDP.

Activity: In ΔABP and ΔCDP

`("AP")/("CP") = ("BP")/("DP")` ......`square`

∴ ∠APB ≅ `square` ......Vertically opposite angles

∴ `square` ∼ ΔCDP  ....... `square` test of similarity.

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उत्तर

In ΔABP and ΔCDP,

`("AP")/("CP") = ("BP")/("DP")` ......Given

∴ ∠APB ≅ ∠CPD ......Vertically opposite angles

ΔABP ∼ ΔCDP  ....... SAS test of similarity.

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2021-2022 (March) Set 1

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