Question 19
A quadrilateral in which all sides, diagonals and angles are equal is a
a) Square
b) Trapezium
c) Rectangle
d) Rhombus

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Solution

In a square, all the sides are equal in length, the diagonals are equal in length and all the angles are equal in magnitude.

Hence, (a) is the correct option.

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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. 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. 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

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

Complete the following:

(a) A quadrilateral has ____________ sides.

(b) A quadrilateral has ____________ diagonals.

(d) In an isosceles trapezium, the base angles are ____________.

(e) In a rhombus, the diagonals bisect each other in ____________ angles.

(f) In a square, all the sides are ____________.

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Properties of Quadrilaterals

Standard VIII Mathematics

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Question 19 A quadrilateral in which all sides, diagonals and angles are equal is a a) Square b) Trapezium c) Rectangle d) Rhombus

In a square, all the sides are equal in length, the diagonals are equal in length and all the angles are equal in magnitude. Hence, (a) is the correct option.

Question 19
A quadrilateral in which all sides, diagonals and angles are equal is a
a) Square
b) Trapezium
c) Rectangle
d) Rhombus

In a square, all the sides are equal in length, the diagonals are equal in length and all the angles are equal in magnitude.

Hence, (a) is the correct option.