## Properties of Rectangle – Angles, Sides & Diagonals

A rectangle is a closed 2D shape with four sides, four angles, and four vertices. It’s a type of quadrilateral and parallelogram whose measure of all angles is $90^{\circ}$. The word ‘rectangle’ starts with the Latin word ‘rectus’, which means ‘right’ or ‘straight’. Let’s understand what are the properties of rectangle with examples. Properties of … Read more

## What is Cyclic Quadrilateral – (Definition, Properties, Theorems & Proofs)

The word ‘cyclic’ comes from the Latin word ‘cyclicus’ or the Greek word ‘kyklikos’, meaning ‘moving in a circle’.  In mathematics, a cyclic quadrilateral is a quadrilateral that has all its four vertices lying on a circle. It is also called an inscribed quadrilateral.  Let’s understand what is cyclic quadrilateral, its properties, and theorems related … Read more

## Construction of Quadrilaterals – (Methods, Steps & Examples)

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices, and four angles. It is formed by joining four non-collinear points. The sum of four angles in a quadrilateral is $360^{\circ}$. Let’s understand the construction of quadrilaterals with steps and examples. Construction of Quadrilaterals A quadrilateral is a … Read more

## Construction of Kite Using Compass and Ruler – (Methods, Steps & Examples)

A kite is a 2D shape in which two pairs of adjacent sides are of equal length. No pair of sides in a kite are parallel but one pair of opposite angles are equal. It has two unequal diagonals perpendicular to each other. Let’s understand how to construct a kite using a compass and ruler … Read more

## Construction of Trapezium Using Compass and Ruler – (Methods, Steps & Examples)

A trapezium is a 2D shape and a quadrilateral in which of two pairs of opposite sides, only one pair is parallel. The opposite parallel sides are referred to as the base and the non-parallel sides are referred to as the legs of the trapezium.  Let’s understand how to construct a trapezium using a compass … Read more

## How to Construct a Rhombus Using Compass and Ruler – (Methods, Steps & Examples)

A rhombus(plural rhombi) is a special type of parallelogram in which opposite sides are parallel and the opposite angles are equal. Also, a rhombus’s sides are equal in length, and the diagonals bisect each other at right angles. These properties are used to construct a rhombus. Let’s understand how to construct a rhombus using a … Read more

## How to Construct a Rectangle Using Compass and Ruler – Methods, Steps & Examples

A rectangle is a closed 2D shape with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to $90^{\circ}$. Let’s understand how to construct a rectangle using compass and ruler with steps and examples. How to Construct a Rectangle Using … Read more

## How to Construct a Square Using Compass and Ruler – Methods, Steps & Examples

A square is a 2D closed shape with four equal sides and four vertices. The measure of all four angles in a square is $90^{\circ}$ and its opposite sides are parallel to each other. Let’s understand how to construct a square using a compass and ruler with steps and examples. How to Construct a Square … Read more

## What is a Scalene Triangle – Definition, Properties & Examples

A triangle is a 2D shape having three sides, three vertices, and three angles. Based on the length of the sides of a triangle, it is classified into three types – equilateral, isosceles, or scalene. Let’s understand what is a scalene triangle and what are the properties of a scalene triangle with examples. What is … Read more

## What is an Equilateral Triangle – Definition, Properties & Examples

A triangle is a 2D shape having three sides, three vertices, and three angles. Although the sum of three angles of a triangle is always $180^{\circ}$, there are various types of triangles classified according to their length of sides – equilateral, isosceles, or scalene, or measures of angles – acute, right or obtuse. Let’s understand … Read more