 # NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals

## NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals - Free PDF

NCERT Solutions for all classes and subjects are also available, you can also find NCERT Solutions for Class 8 Science on Vedantu.

The NCERT Solutions for Class 8 Maths Chapter 3 - Understanding Quadrilaterals have been provided here. Our expert teachers have solved these as per NCERT (CBSE) book guidelines. The NCERT Solutions are always beneficial in your exam preparation and revision. Download NCERT Solutions for Class 8 Maths from Vedantu, which are curated by master teachers. Also, you can revise and solve the important questions for Class 8 Maths Exam 2019-2020, using the updated CBSE textbook solutions provided by us. NCERT Solutions for all classes and subjects are also available, you can also find NCERT Solutions for Class 8 Science on Vedantu.

1. What are trapezium and its properties?

A. A trapezium is kind of a quadrilateral, which is defined as a shape with four unequal sides. It also contains one set of parallel sides and another set of unparallel sides. A trapezium is also referred to as a trapezoid.

Besides trapezium, there are four more types of quadrilaterals. They are - 1) Parallelogram, 2) Rectangle, 3) Square, and 4) Rhombus.

Properties of trapezium:

Here are some of the properties of the trapezium. Take a look below:

1. The sum of all the four angles of a trapezium is equal to 3600 as it is a quadrilateral.

2. A Trapezium has two parallel sides and two non-parallel sides.

3. The diagonals of regular trapezium bisect each other.

4. Two pairs of adjacent angles of a trapezium which are formed between the parallel sides and one of the non-parallel sides make a sum of 180 degrees.

2. Describe different types of Quadrilaterals.

A. There are generally six basic types of Quadrilaterals.

• Rectangle - It belongs to the category of the quadrilateral with all of its four angles of equal measure, i.e. each of them is 90°. Each of the opposite sides is parallel and measures equal in length.

• Square - It is a quadrilateral in which all the sides and angles are equal. Every angle is a right angle (i.e. 90° each). The pairs of opposite sides are parallel to each other.

• Parallelogram - It is a quadrilateral with two pairs of parallel sides. The opposite sides are parallel and equal in length. The opposite angles are equal in measure.

• Rhombus - It belongs to the category of the quadrilateral while all the four sides having equal lengths. The Opposite sides of a rhombus are parallel and opposite angles are equal.

• Trapezium - A quadrilateral with one pair of opposite parallel sides is called Trapezium.

• Kite - It is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

3. What are the formulas for Area and Perimeter of Trapezium?

A. To find out the area of a trapezium, you need to know the length of its two parallel sides and distance between the parallel sides. And, for Perimeter, you need to know the length of all the sides of a trapezium. Below are the formulas to calculate the Area and Perimeter of Trapezium.

Area of trapezium = ½ x (a+b) x h [h is the distance between the two parallel sides i.e a and b]

Perimeter of trapezium = a+b+c+d [Where a, b, c and d are the length of sides of a trapezium]

4. Why should I opt for Vedantu’s NCERT Solutions Class 8 Maths Chapter 3?

A. Vedantu’s NCERT Solutions Class 8 Maths Chapter 3 is crafted by the best experts from the respective field with utmost care. Referring to these will help you to do self-study and self-assessment. You can also learn the types and patterns of questions you are going to face in the final examination. By solving and practising these questions/ problems, you can also improve your time management skill and gain confidence. This will help you to score good marks in the exam.

Do you wish to have an edge over others?