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If ΔXYZ ~ ΔPQR then XYPQYZQRXYPQ=YZQR = ? - Geometry Mathematics 2

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Question

If ΔXYZ ~ ΔPQR then `"XY"/"PQ" = "YZ"/"QR"` = ?

Options

  • `"XZ"/"PR"`

  • `"XZ"/"PQ"`

  • `"XZ"/"QR"`

  • `"YZ"/"PQ"`

MCQ

Solution

`"XZ"/"PR"`

In ΔXYZ and ΔPQR,

ΔXYZ ~ ΔPQR    ...(Given)

`"XY"/"PQ" = "YZ"/"QR" = "XZ"/"PR"`   ...[Corresponding sides of similar triangles.]

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Chapter 1: Similarity - Q.1 (A)

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