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If the adjacent sides of a parallelogram are equal then parallelogram is a
(a) rectangle
(b) trapezium
(c) rhombus
(d) square

Solution:

We have to find the type of quadrilateral that satisfies the given condition.

(i) 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.

(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 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.

(iv) 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.

Therefore, a rhombus satisfies the given condition.

✦ Try This: How many diagonals does a octagon have?

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 21

If the adjacent sides of a parallelogram are equal then parallelogram is a (a) rectangle (b) trapezium (c) rhombus (d) square

Summary:

If the adjacent sides of a parallelogram are equal then the parallelogram is a rhombus.

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