Class 6 Maths Understanding Elementary Shapes Quadrilaterals

A quadrilateral is polygon with four sides or edges and four vertices or corners.

There are different types of quadrilaterals which are discussed below:

In a square, all four sides are equal and each angle is a right angle i.e. 90°

A rectangle is a four-sided shape where every angle is a right angle i.e.90°. Also opposite sides are parallel and of equal length.

A rhombus is a four-sided shape where all sides have equal length. Also opposite sides are parallel and opposite angles are equal.

A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal.

Trapezium can be defined as a quadrilateral with only one pair of opposite sides parallel.

Here, AB and CD are parallel to each other.

Problem: Give reasons for the following:

(a) A square can be thought of as a special rectangle.

(b) A rectangle can be thought of as a special parallelogram.

(c) A square can be thought of as a special rhombus.

(d) Squares, rectangles, parallelograms are all quadrilateral.

(e) Square is also a parallelogram.

Solution:

(a) Because its all angles are right angle and opposite sides are equal.

(b) Because its opposite sides are equal and parallel.

(c) Because its four sides are equal and diagonals are perpendicular to each other.

(d) Because all of them have four sides.

(e) Because its opposite sides are equal and parallel.

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