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For which of the following, diagonals bisect each other?
(a) Square
(b) Kite
(c) Trapezium
(d) Quadrilateral

Solution:

We have to find from the given option for which the diagonals bisect each other.

(i) Square

A square is a closed two-dimensional shape with four sides. All four sides of a square are equal and parallel to each other.

The diagonals of a square bisect each other at 90°.

(ii) Kite

A Kite is a quadrilateral in which four sides can be grouped into two pairs of equal-length sides that are adjacent to each other and the diagonals intersect each other at right angles.

(iii) Trapezium

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 of a trapezium always intersect each other.

(iv) Quadrilateral

A quadrilateral is a closed shape that is formed by joining four points among which any three points are non-collinear.

✦ Try This: If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a (a) rhombus, (b) rectangle, (c) square, (d) parallelogram

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 2

For which of the following, diagonals bisect each other? (a) Square (b) Kite (c) Trapezium (d) Quadrilateral

Summary:

In a square, diagonals bisect each other.

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