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For which of the following figures, diagonals are equal?
(a) Trapezium
(b) Rhombus
(c) Parallelogram
(d) Rectangle

Solution:

We have to find the figure in which the diagonals are equal.

(i) 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.

(ii) 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.

(iii) A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal. The diagonals bisect each other.

(iv) A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90 degrees. The two diagonals bisect each other and divide the rectangle into two equal parts. The length of the two diagonals is equal.

✦ Try This: Which of the following describes a square? (a) All sides are equal, (b) All angles are acute angles, (c) Opposite sides are non parallel, (d) A pair of equal opposite angles

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 5

For which of the following figures, diagonals are equal? (a) Trapezium (b) Rhombus (c) Parallelogram (d) Rectangle

Summary:

In a rectangle, the diagonals are equal.

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