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Applications of Congruency

A rough sketc...

Question

A rough sketch of two triangles is drawn. They have five pairs of congruent parts, but still the triangles are not congruent. True/False?

A

True

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B

False

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Solution

The correct option is B
False

A triangle has six elements - three sides and three angles. If five of them are congruent, then the sixth part will also be congruent. Because when 5 pairs are congruent they will at least satisfy one of the SSS, SAS, ASA, AAS criteria.

And hence, the triangles are congruent.

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