हिंदी

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

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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Areas of Similar Triangles Are Proportional to the Squares on Corresponding Sides
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 15: Similarity (With Applications to Maps and Models) - Exercise 15 (A) [पृष्ठ २१३]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 15 Similarity (With Applications to Maps and Models)
Exercise 15 (A) | Q 1.1 | पृष्ठ २१३
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