Math, asked by gloryrp14, 1 month ago

how does a trapezium differ from parallelogram​

Answers

Answered by shraddha663
0

The main difference is a parallelogram has two pairs of parallel sides while a trapezoid only has to have one pair of parallel sides.

A trapezium is a quadrilateral wherein one pair of the opposite sides are parallel while the other isn’t. This 4 sided closed flat shape is also referred to as a trapezoid. In other words, a trapezium is basically a triangle with the top sliced off. The parallel sides of a trapezium are called the base.

The area of a trapezium can be calculated by taking the average of the two bases and multiplying it by its altitude. The formula for it is given below.

Area of a Trapezium = h(a+b)/2

parallelogram :

It is a quadrilateral wherein both pairs of opposite sides are parallel. Also, the lengths of the opposite sides are equal. In the figure shown above, AB is parallel to CD and AD is parallel to BC. Also, AB = CD and AD = BC.

The diagonals bisect each other. As a result, each diagonal divides the parallelogram into two congruent triangles. In the parallelogram ABCD, AC and BD are diagonals. They bisect each other at E. The diagonal AC divides the parallelogram into two congruent triangles ABC and ACD. Likewise, diagonal BD gives two congruent triangles ABD and BCD.

In a parallelogram, the angles are not right angles. The opposite angles are equal and the sum of the angles is 360°.

To find the area of a parallelogram, multiply its base with its height. So, the formula is

Area of Parallelogram= b×h

Properties of Parallelogram

Pair of parallel sides are congruent, For example, AB = DC

The opposite angles are congruent. For example, D = B

If one angle is right, then all are right.

The diagonals bisect each other.

Answered by nazimhasan7863
2

Answer:

a \: tripezium \:  is  \: diffrent \: from \: a \: parallelogram \: because \: tripezium \: has \: only \: one \: pair of \: sides \: parallel \: and \: parallelogram \: has \: two \: pair of \: side \: parallel

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