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Criteria for Similarity of Triangles

If two sides ...

Question

If two sides of a triangle are proportional to two sides of another triangle then the triangles are similar.

A

True

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B

False

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Solution

The correct option is B
False

In $△ A B C a n d △ D E F$ , if $\frac{A B}{D E} = \frac{B C}{E F}$ , then $△ A B C a n d △ D E F$ are not similar as the angles need not be equal.

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Similar questions

Q. Question 12
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.

Question 102

State whether the statement is True or False.

If two angles and a side of a triangle are equal to two angles and a side of another triangle, then the triangles are congruent.

If two sides of a triangle are proportional to two sides of another triangle then the triangles are similar.

Q. 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 proportion to the two sides of the other triangle, then the triangles are similar? Give reason for your answer.

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Criteria for Similarity of Triangles

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