Question

is all parallelogram are trapiziums​

Answer 1

Heya!!

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$\bigstar$ $\underline{\pink{\sf{Yes}}}$ ,All parallelogram are trapeziums.

$\bigstar$ But all the trapeziums are not parallelograms.

$\bigstar$ Because a Trapezium is a quadrilateral with one pair of opposite sides parallel and Parallelogram is a quadrilateral with one pair of sides parallel and equal .So trapeziums are not parallelogram.

$\bigstar$ Trapeziums specifies two sides to be parallel and parallelogram require two opposite sides to be parallel regarding both the paid so every Parallelogram is a trapezium whose other two sides are also parallel .

$\bigstar$ The pair of opposite sides of a parallelogram are equal and parallel.

$\bigstar$ A Trapezium do not have parallel sides.

$\bigstar$ In a quadrilateral one pair sides are parallel then it is called a trapezium.

$\bigstar$ Every pair of parallel has opposite sides called parallelogram.

So,

All parallelograms are Trapeziums

Answer 2

Yes, all parallelgrams are trapezium.

• As the criteria for a polygon to be a trapezium is a pair of sides to be parallel and another non-parallel, and we know that a parallelogram has a pair of sides as parallel, thus all parallelograms are trapeziums.