The diagonal of a rectangle divides it into 2 congruent triangles. Options: A . &nbspTrue B . &nbspFalse C . &nbspCA D . &nbspAll are same in length

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

Question

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

Options:

A . True

B . False

C . CA

D . All are same in length

Answer: Option A
:
A

△

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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