Are All Trapezia Rectangles?

With four sides, a trapezoid is a quadrilateral, just as a square or rectangle or parallelogram. ... In other words, all rectangles are trapezoids, but not all trapezoids are rectangles. A trapezium is a subset of trapezoids in which at least two sides are parallel; a parallelogram is one example of a trapezium.

Are all parallelogram are rectangles?

Since it has two sets of parallel sides and two pairs of opposite sides that are congruent, a rectangle has all of the properties of a parallelogram. That's why a rectangle is always a parallelogram. However, a parallelogram is not always a rectangle.

Is every quadrilateral a rectangle?

A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. A rectangle has all the properties of a parallelogram, plus the following: The diagonals are congruent.