Mathematics
Grade9
Easy

Question

Given two triangles are similar. Which is the similarity criteria it satisfies?

  1. SAS similarity criteria
  2. SSS similarity criteria
  3. AA similarity criteria
  4. AAA similarity criteria

hintHint:

The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

The correct answer is: SAS similarity criteria



    Given, triangleUVW a n d
triangleGHF
    angleU = angleF = 76degree
    fraction numerator U W over denominator H F end fraction space equals 9 over 21 space equals space 3 over 7
fraction numerator U V over denominator G F end fraction equals space 18 over 42 space equals space fraction numerator 3 over denominator 7 space end fraction
fraction numerator U W over denominator H F end fraction space equals space fraction numerator U V over denominator G F end fraction space equals space 3 over 7
    triangleUVW tilde
triangleGHF, by SAS criterion : (The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.)

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