Question

Is trapezium a parallelogram?

Answer 1

Hint: Here for the question, we have to give the descriptive type of answers. To solve this question, we have to know the properties of parallelogram and the trapezium, by comparing the both the properties we will obtain the answers.

Complete step by step solution:
Here now we know about the properties of parallelogram and trapezium
I.The properties of a parallelogram are as follows:
II.The opposite sides are parallel and congruent
III.The opposite angles are congruent
IV.The consecutive angles are supplementary
If anyone of the angles is a right angle, then all the other angles will be the right angle
The two diagonals bisect each other
Each diagonal bisects the parallelogram into two congruent triangles
Sum of squares of all the sides of a parallelogram is equal to the sum of squares of its diagonals. It is also called parallelogram law
The properties of a trapezium are as follows:
Like other quadrilaterals, the sum of all the four angles of the trapezium is equal to \[{360^ \circ }\]
I.A trapezium has two parallel sides and two non-parallel sides
II.The diagonals of regular trapezium bisect each other
III.The length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium
IV.Two pairs of adjacent angles of a trapezium formed between the parallel sides and one of the non-parallel side, add up to 180 degrees
V.When we compare the properties of parallelogram and trapezium there are no similarities. Therefore, the trapezium is not a parallelogram.

Note: To the descriptive type of answers we must know about the theory part of the topic, In this question it includes the trapezium and parallelogram so by knowing their properties we can give the conclusion. If the question includes other than these solid figures we have to know about their properties.