Name the following quadrilaterals according to their properties.
a) A pair of opposite sides are parallel
b) All my sides are equal and angles are right angles
C) Two pair of opposite sides are parallel and equal
d) All sides are equal and diagonals bisect perpendicularly
e) Two pairs of opposite sides are parallel and equal and each angle is right angle

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Solution

Dear student,
Here is the answer to your asked queries:

a) A pair of opposite sides are parallel is Trapezium.
b) All sides are equal and angles are right angles is a square.
c) Two pair of opposite sides are parallel and equal is a Parallelogram.
d) All sides are equal and diagonals bisect perpendicularly is a Rhombus.
e) Two pairs of opposite sides are parallel and equal and each angle is a right angle is a Rectangle.

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Similar questions

Q. Find the quadrilateral with given property.

A. A parallelogram,where diagonals bisect at right angles, all sides are equal and none of the angles are equal to

90^{\circ}

.

B:A quadrilateral, where only one pair of opposite sides is parallel and unequal.

Q. Match the following.

$(1)$ Rectangle	(p) A quadrilateral having its opposite sides equal and parallel.
$(2)$ Square	(q) A parallelogram having its opposite sides equal and each of the angle is a right angle.
$(3)$ Parallelogram	(r) A parallelogram having all sides equal and each of the angle is a right angle.
$(4)$ Rhombus	(s) A quadrilateral in which a pair of opposite sides are parallel.
$(5)$ Trapezium	(t) A parallelogram having all sides equal.

Q. A quadrilateral in which all angles are

90^{\circ}

, each pair of opposite sides is parallel and equal, adjacent sides are unequal, is known as.

Q. Match the following.

(1)	Rectangle	(p)	A quadrilateral having its opposite sides equal and parallel.
(2)	Square	(q)	A parallelogram having its opposite sides equal and each of the angle is a right angle.
(3)	Parallelogram	(r)	A parallelogram having all sides equal and each of the angle is a right angle.
(4)	Rhombus	(s)	A quadrilateral in which a pair of opposite sides are parallel.
(5)	Trapezium	(t)	A parallelogram having all sides equal.

Match the following:

$\begin{matrix} Quadrilateral & Properties 1. Trapezium & A) A parallelogram, where diagonals bisect at right angles, all sides are equal and none of the angles are equal to 90^{\circ} 2. Square & B) A quadrilateral, where only one pair of opposite sides is parallel and unequal 3. Rectangle & C) A parallelogram, where diagonals are equal, all sides equal and all the angles are 90^{\circ} 4. Rhombus & D) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90^{\circ} \end{matrix}$

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