Quadrilateral derived from two words, i. Any closed figures which are having four sides are called quadrilaterals. The sides of the quadrilateral may be equal, unequal, parallel, or irregular shapes. Based on angles and side lengths, there are various types of quadrilaterals:.
Parallelogram - A parallelogram is a quadrilateral which has opposite sides parallel. In a parallelogram, all the Byjus Class 8 Maths Chapter 6 Kindle opposite sides are equal and the angles made by each opposite side are also equal. Image to be added soon. Rectangle - Rectangle is also a type of parallelogram with a little difference in the angles of the sides.
All the sides of the rectangle are at the right angle or to say perpendicular to each other. The figure below shows a quadrilateral ABCD. Since all its sides are parallel to each other, we may also call it a type of parallelogram with line segments placed at the right angle to each other.
Square - A square is a quadrilateral with all four sides equal. All the vertex of a square makes a right angle with its sides. Suppose WXYZ is a square which shows the following characteristic:. Rhombus - A rhombus is also a parallelogram which has all sides equal. In other words, a parallelogram that shows resemblance to a square with respect to its length of sides is called a rhombus.
These are sometimes referred to as Diamonds also. Rhombus shows a very important feature regarding their diagonals. The diagonals of a rhombus meet exactly in the middle at a right angle and are also bisect with each other. Trapezium - Among all the other types of quadrilaterals, a trapezium shows different characteristics.
In a trapezium, all the sides may not be equal but one of the pairs of sides has to be parallel to each other. A trapezium is also known as an irregular quadrilateral because it does not show similarity in lengths and angles of sides.
Kite - A kite is a quadrilateral which has two pairs of equal-length sides and these sides are adjacent to each other. The pair of adjacent sides of a kite are of equal length. Opposite sides are equal and parallel.
Opposite angles are equal. All angles are right angle. Opposite sides are parallel. All sides are equal and all angle is a right angle. Opposite sides are parallel and equal. Diagonals bisect each other at a right angle. One pair of opposite sides are parallel. Two pairs of adjacent sides are equal. One pair of opposite sides are equal. Diagonals intersect at a right angle. After going through the above Class 9 Maths Chapter 8 important questions, now it will be easier for you to differentiate between them and learn all the important concepts.
So, every quadrilateral is a four-sided figure but still, there is a lot of difference between them, depending on the length of sides and the equality of angle.
The difference between them is mentioned in their properties, so go through the above properties carefully which will help you to differentiate between every type of quadrilateral. Also, practise Class 9 Maths Chapter 8 extra questions so that you can through the concept and get good marks in the exam.
Types of Quadrilaterals Based on angles and side lengths, there are various types of quadrilaterals: Parallelogram Rectangle Square Rhombus Trapezium Kite Parallelogram - A parallelogram is a quadrilateral which has opposite sides parallel.
Image to be added soon Rectangle - Rectangle is also a type of parallelogram with a little difference in the angles of the sides. Image to be added soon Square - A square is a quadrilateral with all four sides equal. Quadrilateral Properties Parallelogram Opposite sides are equal and parallel. Rectangle All angles are right angle opposite sides are equal and parallel Square Opposite sides are parallel.
All sides are equal and all angle is a right angle Rhombus Opposite sides are parallel and equal. Diagonals bisect each other at a right angle Trapezium One pair of opposite sides are parallel. Kite Two pairs of adjacent sides are equal. All angles are right angle opposite sides are equal and parallel.
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