Question

Kevin claims he can draw a trapezoid with three right angles. Is this possible? Explain.

Answer 1

No, because a trapezoid is defined as a quadrilateral with EXACTLY one pair of parallel sides (the other two cannot be parallel). Because the sum of the angles in a quadrilateral sum up to 360°, and three of the angles are each 90°, that means the fourth angle must equal (360 - 3(90)) = 90°, so therefore this figure would be a rectangle, not a trapezoid.

Answer 2

no, if you were to have three right angles, then the fourth angle would also have to be a right angle.  This would make the shape either a square or a rectangle, not a trapezoid.