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Question

The diagonal of a rectangle divides it into 2 congruent triangles.


A

True

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B

False

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Solution

The correct option is A

True


In ABC and CDA, we have:

AB = CD (Opposite sides of a parallelogram)

BC = AD (Opposite sides of a parallelogram)

AC = AC (Common)

By SSS congruence condition, ABC CDA. So, the diagonal of the parallelogram divides it into two congruent triangles.


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