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

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)

Q. Which of the following quadrilateral is not a rhombus?

(a) All four sides are equal

(b) Diagonals bisect each other

(c) Diagonals bisect opposite angles

(d) One angle between the diagonals is 60°

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

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Construction of Quadrilateral (4 Sides)

Standard IX 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