Mathematics
Grade9
Easy

Question

If triangles ABC and ADE are similar, then which of the following is not true?

  1. fraction numerator A D over denominator A B end fraction equals fraction numerator A E over denominator A C end fraction
  2. angle D A E equals angle B A C
  3. angle A D E equals angle A B C
  4. fraction numerator D E over denominator B C end fraction equals fraction numerator A E over denominator A D end fraction

hintHint:

The similarity of triangles can be defined based on their properties. Two triangles are similar, if
(i) their corresponding angles are equal and
(ii) their corresponding sides are in the same ratio (or proportion).
These two are the main conditions for the similarity of triangles.

The correct answer is: fraction numerator D E over denominator B C end fraction equals fraction numerator A E over denominator A D end fraction


    The similarity of triangles can be defined based on their properties. Two triangles are similar, if
    (i) their corresponding angles are equal and 
    (ii) their corresponding sides are in the same ratio (or proportion).
    These two are the main conditions for the similarity of triangles.

     Thus, If triangles ABC and ADE are similar : All the other statements except option A prove triangle ABC is similar to triangle ADE.

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