Question 17
A quadrilateral in which all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ___.
a) Rhombus
b) Parallelogram
c) Square
d) Rectangle

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Solution

We know that, in rhombus all sides are equal, opposite angles are equal and diagonals bisect each other at right angles.

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Similar questions

Q. Question 18
A quadrilateral whose opposite sides and all the angles are equal is a
a) Rectangle
b) Parallelogram
c) Square
d) Rhombus

Q. Question 17
A quadrilateral in which all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ___.
a) Rhombus
b) Parallelogram
c) Square
d) Rectangle

Q. Which of the quadrilaterals mentioned in brackets have the following properties?

(1) Diagonals are congruent. (square, rectangle, rhombus)
(2) The longer diagonal is the perpendicular bisector of the shorter and the shorter of the longer. (trapezium, kite, rhombus)
(3) All sides and angles are congruent. (rhombus, square, rectangle)
(4) Opposite angles are congruent. (kite, parallelogram, rectangle)
(5) Opposite sides are congruent. (trapezium, rectangle, parallelogram)
(6) Diagonals bisect each other at right angles. (square, rectangle, rhombus)
(7) Diagonals bisect each another. (rectangle, parallelogram, kite)
(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

$\begin{matrix} Q u a d r i l a t e r a l & P r o p e r t i e s 1) T r a p e z i u m & A) A p a r a l l e l o g r a m w h e r e d i a g o n a l s b i s e c t a t r i g h t a n g l e s a n d a l l s i d e s e q u a l h a v i n g n o n e o f t h e a n g l e e q u a l t o 90^{\circ} . 2) S q u a r e & B) A q u a d r i l a t e r a l w h e r e o n l y o n e p a i r o f o p p o s i t e s i d e s i s p a r a l l e l a n d u n e q u a l . 3) R e c t a n g l e & C) A p a r a l l e l o g r a m w h e r e d i a g o n a l s a r e e q u a l a n d a l l s i d e s e q u a l h a v i n g a l l t h e a n g l e s 90^{\circ} . 4) R h o m b u s & D) A p a r a l l e l o g r a m w h e r e d i a g o n a l s a n d o p p o s i t e s i d e s a r e e q u a l h a v i n g a l l t h e a n g l e 90^{\circ} . \end{matrix}$

Q. A quadrilateral whose each angle is a right angle and whose all sides are equal is a

(a) square
(b) rectangle
(c) rhombus
(d) parallelogram

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Construction of a Quadrilateral When Other Special Properties Are Known

Standard VIII Mathematics

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Question 17 A quadrilateral in which all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ___. a) Rhombus b) Parallelogram c) Square d) Rectangle

We know that, in rhombus all sides are equal, opposite angles are equal and diagonals bisect each other at right angles.

Question 17
A quadrilateral in which all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ___.
a) Rhombus
b) Parallelogram
c) Square
d) Rectangle