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Congruent Triangles

If three angl...

Question

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

A

True

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B

False

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Solution

The correct option is B
False

The given statement is false. Even when two triangles have all angles same, they can still have sides of different lengths. However, the ratio of lengths of corresponding sides will be same. But in this case, they will be called 'similar' triangles, not congruent.

Congruent triangles are a special case of similar triangles.

For example, in the image below, both triangles are equilateral and have all angles equal but they are not congruent.

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