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  • Is it true to say that if in two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to the two sides of the other triangle, then the triangles are similar?

Is it true to say that if in two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to the two sides of the other triangle, then the triangles are similar? Give reasons for your answer.

Answers (1)

Answer. [False]

Given:- (1) An angle of one triangle is equal to an angle of another triangle.

(2) Two sides of one triangle are proportional to the two sides of the other triangle.

According to SAS similarity criterion if one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in the same ratio, then the triangles are similar.

But here, the given statement is false because one angle and two sides of two triangles are equal but these sides not including equal angle.

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infoexpert23

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