Question

D Q 16. Prove that the bisectors of the angles of a parallelogram form a rectangle.
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Answer 1

Prove that the bisectors of the angles of a parallelogram form a rectangle.

• LMNO is a parallelogram in which bisectors of the angles L, M, N, and O intersect at P, Q, R and S to form the quadrilateral PQRS. Hence the angle bisectors of a parallelogram form a rectangle as all the angles are right angles; we conclude that it IS RECTANGLE. Hence proved.

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Answer 2

Answer:

LMNO is a parallelogram in which bisectors of the angles L, M, N, and O intersect at P, Q, R and S to form the quadrilateral PQRS. Hence the angle bisectors of a parallelogram form a rectangle as all the angles are right angles; we conclude that it IS RECTANGLE. Hence proved.

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Step-by-step explanation:

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