Before talking around the species of quadrilaterals, let united state recall what a square is. A square is a polygon which has the following properties

4 vertices and also 4 sides enclosing 4 angles.The sum of all internal angles the a quadrilateral is 360 degrees.We can likewise derive the sum of interior angle indigenous the formula that polygon i.e. (n -2) × 180, where n is same to the variety of sides that the polygon

A quadrilateral, in general, has sides of different lengths and also angles of various measures. However, squares, rectangles, etc. Are special types of quadrilaterals with few of their sides and angles gift equal. This is the reason that the area that quadrilateral counts on which type of square it is. In this article, we will talk about the special types of quadrilaterals and their basic properties.

You are watching: Which quadrilateral must have diagonals that are congruent and perpendicular

Different species of Quadrilaterals

There room six an easy types the quadrilaterals. Lock are:



It is a quadrilateral v one pair of the opposite parallel sides. In the trapezium, ABCD, side abdominal is parallel to next CD.



It is a quadrilateral with two pairs of parallel sides. The contrary sides are parallel and equal in length. Opposing angles room equal in measure. In the parallelogram, ABCD, side abdominal muscle is parallel to side CD and also side advertisement is parallel to next BC.Also, the 2 diagonals developed to intersect each other at the midpoints. As in the number given below, E is the suggest where both the diagonals meet. SoLength AE = EC, & size BE = ED



It is a quadrilateral with all the 4 angles of same measure, that is, each of castle is 90°. Both the bag of the opposite sides space parallel and equal in length.



It is a quadrilateral with all the four sides having actually equal lengths. The Opposite political parties of a rhombus room parallel and also opposite angles room equal.



It is a square in which all the sides and also angles space equal. Every angle is a right angle (i.e. 90° each). The bag of the opposite sides room parallel to each other.



It is a quadrilateral that has actually 2 bag of equal-length sides and these political parties are surrounding to every other.


Some points around quadrilaterals to be kept in mental are:

Square, rectangle, and also rhombus are types of parallelograms.A square is a rectangle as well as a rhombus.Rectangle and rhombus room not a square.A parallel is a trapezium.A trapezium is not a parallelogram.Kite is not a parallelogram.

See more: What Happens If You Roll 3 Doubles In Monopoly /Official Rules

To learn an ext about varieties of quadrilaterals, download BYJU’S- The Learning application to clock the interaction videos to learn with ease.