Question

is every parallelogram is a trapezium​

Answer 1

Answer:

true

Step-by-step explanation:

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Answer 2

Answer:

Yes.

• Every parallelogram is a trapezium.

• But, every trapezium need not be a parallelogram.

Explanation:

1. Trapezium has one pair of opposite sides parallel.
2. Whereas, in a parallelogram both the pair of opposite sides are parallel.
3. Hence, a parallelogram satisfies the need of becoming a trapezium with one pair of sides parallel.
4. However, a trapezium does not satisfy the need of becoming a parallelogram by not having two pair of opposite sides parallel.
5. Hence, every parallelogram having two pairs of opposite sides parallel is a trapezium whereas every trapezium having only one pair of opposite sides parallel cannot be defined as a parallelogram.

Hence, proved.

P.F.A the figure below for a more clear picture.

Hope you got that.

Thank You.