Question

A trapezoid has symmetry with respect to the median of the trapezoid.

True or False

Answer 1

False

Explanation:

A trapezoid is one special type of quadrilateral.

The speciality is one pair of opposite sides would be parallel.

The trapezium may or may not have the non parallel sides equal. If they are equal it is called isosceles trapezium

Here when we consider a trapezium, the median is the line joining the mid points of the non parallel sides.

Since trapezium is narrow on one side of the median and wider on the other side of the median, this cannot divide the trapezium into two symmetrical shapes.

Hence A trapezoid cannot have symmetry with respect to the median of the trapezoid.

Answer 2

A trapezoid has symmetry with respect to the median of the trapezoid.

False