Name all the quadrilaterals that have two pairs of parallel sides and all angles congruent
To find the names of quadrilaterals that have two pairs of parallel sides and all angles congruent, we need to think about the properties of different quadrilaterals and compare them to the given conditions.
Let's start by considering the properties of quadrilaterals with two pairs of parallel sides. These quadrilaterals are known as trapezoids. In a trapezoid, only one pair of opposite angles is congruent, so this does not satisfy the given condition of all angles being congruent. Therefore, trapezoids are not the answer.
Next, we can examine the properties of parallelograms. A parallelogram has two pairs of parallel sides, but its opposite angles are congruent, not all angles. So, parallelograms also do not meet the given condition of having all angles congruent.
However, there is a special type of parallelogram that does have all angles congruent. It is called a rectangle. In a rectangle, opposite sides are parallel, and all angles are congruent, specifically right angles (90 degrees).
Therefore, the quadrilateral that satisfies the given conditions is a rectangle.