Monday, 31 July 2017

Quadrilateral V: Now Handle Properties of Trapezium with Ease!

It's now easier than ever before to understand properties of trapezium. Read on to find easy ways to remember properties of trapezium for upcoming SSC Exams. 
Properties of trapezium

Often SSC aspirants get confused between the properties of trapezium and parallelogram. In this post, we have briefly discussed properties of trapezium which will clear your confusion and help you solve geometric questions asked on them. 

In our previous posts, we have discussed properties of parallelogramrectangle, and rhombus. Refer to these posts so that you can have a firm grip on properties of trapezium. 

What is a Trapezium? 

A trapezium is a four sided, closed figure with a pair of parallel lines. It is a quadrilateral, and all its angles sum up to 360°.

Properties of trapezium

Properties of Trapezium

Properties of Trapezium 1: 

In a trapezium ABCD, the bases (top and bottom) of a trapezoid are parallel, and all the angles, diagonals and sides are not congruent.

AB//CD 

Properties of trapezium

Properties of Trapezium 2: 

In a trapezium ABCD, EF the median, is a line which is parallel to the parallel lines and it is equidistant from them.

EF is the median 

Properties of trapezium

Properties of trapezium

Area of a Trapezium


Properties of trapezium

Properties of trapezium

Perimeter of a Trapezium 


Properties of trapezium
Properties of trapezium

Types of Trapeziums: 

Isosceles Trapezium

An isosceles trapezium is a type of trapezium where two non-parallel sides are equal. Iscocles trapezium is a cyclic trapezium where all the four vertexes lie on the circumference of the circle. 

In a trapezium ABCD, 

AD = BC 
Properties of trapezium

Right-Angled Trapezium 

If there are two right angles in a trapezium, then it is called as a right-angled trapezium.

In a trapezium ABCD,

∟DAB = 90° 
∟ADC =90°

Properties of trapezium

Scalene Trapezium 

A scalene trapezium is a type of trapezium where all the sides are different in length. 

Properties of trapezium

Hope now it's no longer difficult for you to understand the properties of trapezium. Do write in the comment section on how this blog has helped you understand the properties of trapezium. Download some free questions for practice for the SSC CGL Exam.

Stay tuned for our next blog! 


Properties of trapezium
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