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Maharashtra State BoardSSC (English Medium) 10th Standard

In ΔDEF and ΔXYZ, (DE)/(XY) = (FE)/(YZ) and ∠E ≅ ∠Y ______ test gives similarity between ΔDEF and ΔXYZ.

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Question

In ΔDEF and ΔXYZ, `(DE)/(XY) = (FE)/(YZ)` and ∠E ≅ ∠Y ______ test gives similarity between ΔDEF and ΔXYZ.

Options

  • AAA

  • SAS

  • SAA

  • SSS

MCQ
Fill in the Blanks
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Solution

SAS 

Explanation:

In ΔDEF and ΔXYZ,

`(DE)/(XY) = (FE)/(YZ)`   ...(Given)

∠E ≅ ∠Y   ...(Given)

∴ ΔDEF ≅ ΔXYZ  ...(SAS Similarity triangle test)

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Chapter 1: Similarity - Q.1 (A)
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