# What is cyclic quadrilateral explain with diagram?

Table of Contents

## What is cyclic quadrilateral explain with diagram?

Cyclic Quadrilateral Definition It means that all the four vertices of quadrilateral lie in the circumference of the circle. Let us understand with a diagram. It is noted that the sum of the angles formed at the vertices is always 360o and the sum of angles formed at the opposite vertices is always supplementary.

## What is the special type of quadrilateral ABCD?

A quadrilateral is called a parallelogram, if both pairs of its opposite sides are parallel. AB ∥ DC and AD ∥ BC. So, ABCD is a parallelogram. A parallelogram having all sides equal, is called a rhombus.

## What is a cyclic quadrilateral Class 9?

A cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic.

## What is opposite angles of a quadrilateral?

Two angles of a quadrilateral which are not adjacent angles are known as opposite angles. In the given figure, (∠A, ∠C) and (∠B, ∠D) are two pairs of opposite angles of quadrilateral ABCD.

## What are opposite sides in a quadrilateral?

Two sides of a quadrilateral are called its opposite sides if they do not have a common endpoint. In the given figure, (AB, DC) and (AD, BC) are two pairs of opposite sides of quadrilateral ABCD.

## How do you introduce the topic quadrilateral?

The word ‘quad’ means four and the word lateral means sides. Thus, a plane figure bounded by four line segments AB, BC, CD and DA is called a quadrilateral and is written as quad. ABCD. On the basis of diagonals, there are two types of quadrilaterals.

## What do you mean by adjacent sides in a quadrilateral?

Adjacent sides two sides of a quadrilateral are called its adjacent sides if they have a common endpoint.

## What is the introduction of quadrilateral?

A quadrilateral is a 4-sided plane figure. Below are some important properties of quadrilaterals : Every quadrilateral has 4 vertices, 4 angles, and 4 sides. The total of its interior angles = 360 degrees.