Mathematics
Grade9
Easy

Question

In the given figure, two triangles are similar angle A equals angle D andfraction numerator D E over denominator A B end fraction equals fraction numerator D F over denominator A C end fraction, then it satisfies

  1. SAS similarity criteria
  2. SSS similarity criteria
  3. AA similarity criteria
  4. Data inadequate

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



    In the given figure, two triangles are similar angle A equals angle D andfraction numerator D E over denominator A B end fraction equals fraction numerator D F over denominator A C end fraction  then it satisfies SAS similarity 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.

    angle A equals angle D and fraction numerator D E over denominator A B end fraction equals fraction numerator D F over denominator A C end fraction, given; therefore, SAS similarity criteria

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