NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.7

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.7 (Ex. 5.7) Understanding Elementary Shapes updated for new academic session 2020-2021 free to use online or download in PDF.

All the contents are prepared for CBSE and state board students in Hindi and English Medium. Answers and steps of solutions are kept easy to understand for a grade 6 students. Videos related to exercise 5.7 of class 6 mathematics is also given below to use free.

Class 6 Maths Chapter 5 Exercise 5.7 Solution

Class: 6Mathematics
Chapter: 5Understanding Elementary Shapes
Exercise: 5.7Solutions in Hindi and English Medium

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Class 6 Maths Chapter 5 Exercise 5.7 Solution in Videos

Class 6 Maths Chapter 5 Exercise 5.7 Solution
Class 6 Maths Chapter 5 Exercise 5.7 Explanation

Various Types of Quadrilaterals

In this section, we shall study about various types of quadrilaterals.

(i) Trapezium

A quadrilateral having exactly one pair of parallel sides, is called a trapezium.

Trapezium
(ii) Parallelogram

A quadrilateral is a parallelogram if it’s both pairs of opposite sides are parallel and equal.

(iii) Rhombus

A parallelogram having all sides equal is called a rhombus.

(iv) Rectangle

A parallelogram who’s each angle is a right angle, is called a rectangle.

Rectangle
(v) Square

A square is a rectangle with a pair of equal adjacent sides.
In other words, a parallelogram having all sides equal and each angle equal to a right angle, is called a square.

Square
Name each of the following parallelograms: (i) All sides are equal. (ii) Each angle is right angle. (iii) One pair of sides is parallel and non-parallel sides are equal.

(i) A parallelogram in which all sides are equal called Rhombus.
(ii) A parallelogram who’s each angle is a right angle is called a rectangle.
(iii) A parallelogram whose One pair of sides is parallel and non-parallel sides are equal is called trapezium

What do all Quadrilaterals have in common?

There are many different kinds of quadrilaterals, but all have several things in common:
All of them have four sides, are coplanar, have two diagonals, and the sum of their four interior angles equals 360 degrees.

(vi) Kite

A quadrilateral is a kite if it has two pairs of equal adjacent sides and unequal opposite sides.



What are special Quadrilaterals?

Many special quadrilaterals have special attributes. A trapezoid has exactly one pair of parallel sides. A parallelogram has two pairs of equal parallel sides. A rectangle is a parallelogram with 4 right angles. A rhombus is a parallelogram with 4 equal sides.

How many elements are required to construct a unique quadrilateral?

Thus a quadrilateral has 10 elements (4 sides, 4 angles and 2 diagonals) or measurements. To construct a unique quadrilateral, we need to know 5 measurements (elements).

How do you classify quadrilaterals?

Quadrilaterals: Classification
A quadrilateral is a polygon with four sides.
A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals.
A rhombus is a parallelogram with four congruent sides.
A trapezoid is a quadrilateral with exactly one pair of parallel sides.

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.7
Class 6 Maths Chapter 5 Exercise 5.7