Math, asked by sarfarozemohammed, 6 months ago

What is a Quadrilateral? Name any two types of quadrilaterals.​

Answers

Answered by Navya20475
2
Quadrilateral: a figure or polygon with 4 edges or 4 vertices. Two types of polygon- rectangle and square
Answered by jainamshah1595
1

Step-by-step explanation:

What is Quadrilateral?

In geometry, a quadrilateral can be defined as a , which has four straight .

The polygon has four vertices or corners.

We can find the shape of quadrilaterals in various things around us, like in a chess board, a deck of cards, a kite, a tub of popcorn, a sign board and in an arrow.

Types of Quadrilateral

1. Parallelogram

As the name suggests, a parallelogram is a quadrilateral with parallel opposite sides. In a parallelogram all the opposite sides are equal and the angles made by each opposite side is also equal. In the figure shown below, PQRS is a quadrilateral and since PQ || RS and PS || QR we call it a parallelogram

2. Rectangle

The Rectangle is also a type of parallelogram with a little difference in the angles of the sides. In a rectangle, all the sides are at the right angle or to say perpendicular to each other. The figure below shows a quadrilateral ABCD and since all its sides are parallel to each other we may also call it a type of parallelogram with line segments placed at right angle to each other. This can be written as AB || CD and AC || BD. ∠A =∠B =∠C=∠D= 90°

3. Square

A square is a quadrilateral with all four sides equal. Every vertex of a square makes a right angle with its sides. A square is a quadrilateral which shows the following characteristic:

WX || YZ and WY || XZ. ∠W =∠X =∠Y=∠Z= 90°

4. Rhombus

A rhombus is also a parallelogram but with all sides equal. In other words, a parallelogram that shows e resemblance to a square as regards its lengths of sides is called a rhombus. These are sometimes referred to as Diamonds also. Rhombus shows a very peculiar feature regarding their diagonals. The diagonals in a rhombus meet exactly in the middle at a right angle and are said to bisect with each other.

5. Trapezium

Amongst the other types of quadrilaterals, a trapezium shows different characteristics, In a trapezium, only one pair of the four sides are parallel to each other. In a trapezium, all the sides may not be equal in measurement but one of the pairs of sides has to be parallel to each other.

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