That it has 4 sides and a pair of parallel sides of different lengths
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To prove that a quadrilateral is a right trapezoid, you need to show that it has one pair of parallel sides and one pair of right angles. This can be done by using the properties of parallel lines and perpendicular lines.
It makes sense because it is true. There are other quadrilaterals whose diagonals are perpendicular.
a square, rectangle, rhombus.....
____________ / | /_____________ | Crappy drawing, I know, but a right trapezoid has two right angles(right side of picture), and two supplimentary non-right angles(left side of drawing). This is still a trapezoid because in order to be a trapezoid, there must be one and only one pair of parallel lines, and four sides. That's it, thus this is a possible trapezoid.
It's sides angles and shape or form