NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals
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:
The sum of all the four angles of a trapezium is equal to 3600 as it is a quadrilateral.
A Trapezium has two parallel sides and two non-parallel sides.
The diagonals of regular trapezium bisect each other.
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.
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]
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