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In ΔDEF and ΔXYZ, DEXY=FEYZ and ∠E ≅ ∠Y. _______ test gives similarity between ΔDEF and ΔXYZ. - Geometry Mathematics 2

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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

Solution

SAS 

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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