The bisectors of the angle of a parallelogram enclose a ?

Parallelogram

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Rhombus

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Rectangle

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Square

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Solution

The correct option is C Rectangle

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Similar questions

Q. The bisectors of the angles of a parallelogram enclose a:

Q. The bisectors of the angle of a parallelogram enclose a

(a) parallelogram

(b) rhombus

(c) rectangle

(d) square

Q. If the bisectors of angles of a quadrilateral enclose a rectangle, then show that it is a parallelogram.

$In the following diagram, the bisectors of interior angles of the parallelogram PQRS en-close a quadrilateral ABCD.$

$Show that: (i) ∠ P S B + ∠ S P B = 90^{\circ} (i i) ∠ P B S = 90^{\circ} (i i i) ∠ A B C = 90^{\circ} (i v) ∠ A D C = 90^{\circ} (v) ∠ A = 90^{\circ} (v i) ABCD is a rectangle Thus, the bisectors of the angles of a parallelogram enclose a rectangle.$

The bisectors of base angles of a triangle cannot enclose a right angle in any case.

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