A quadrilateral whose all sides, diagonals and angles are equal is a
(a) square
(b) trapezium
(c) rectangle
(d) rhombus

Solution:

(i) A square is a two-dimensional plane figure with four equal sides. All angles are equal.

There are only two diagonals of the square and they bisect each other at right angles.

(ii) A trapezium is a two-dimensional quadrilateral having a pair of parallel opposite sides.

The opposite parallel sides are referred to as the base and the non-parallel sides are referred to as legs of the trapezium. The diagonals intersect each other.

(iii) A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other. All angles are equal.

(iv) A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides.

A rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. The diagonals bisect each other at right angles.

Therefore, a square satisfies the given conditions.

✦ Try This: A quadrilateral whose all sides, diagonals and angles are not equal is a (a) square, (b) trapezium, (c) rectangle, (d) rhombus

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 19

A quadrilateral whose all sides, diagonals and angles are equal is a (a) square (b) trapezium (c) rectangle (d) rhombus

Summary:

A quadrilateral whose all sides, diagonals and angles are equal is a square.

☛ Related Questions:

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• If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a (a) . . . .