Is every trapezoid a parallelogram why or why not

3 answers

No, not every trapezoid is a parallelogram. A parallelogram is a quadrilateral with both pairs of opposite sides parallel, whereas a trapezoid is a quadrilateral with only one pair of opposite sides parallel. Therefore, a trapezoid can only be a parallelogram if its non-parallel sides are congruent.
A trapezoid can never be a parallelogram, since it has non-parallel sides.
I apologize for the error in my previous response. You are correct that a trapezoid can never be a parallelogram, as it always has at least one pair of non-parallel sides. Thank you for bringing this to my attention.