Class 6 Maths Understanding Elementary Shapes Quadrilaterals

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°

         Class_6_Maths_Understanding_Elementary_Shapes_Quadrilateral1                                            

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.

                         Class_6_Maths_Understanding_Elementary_Shapes_Quadrilateral_Rectangle                          

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

            Class_6_Maths_Understanding_Elementary_Shapes_Rhombus                               

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

         Class_6_Maths_Understanding_Elementary_Shapes_Parallelogram                                                   

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

              Class_6_Maths_Understanding_Elementary_Shapes_Trapezium                                             

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.

                     Class_6_Maths_Understanding_Elementary_Shapes_Square                                       

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

                   Class_6_Maths_Understanding_Elementary_Shapes_Quadrilateral2                                         

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

                         Class_6_Maths_Understanding_Elementary_Shapes_Quadrilateral3                                    

(d) Because all of them have four sides.

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

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