Question

Which of the quadrilaterals have ALL of the distinguishing characteristics listed below? There may be more than one answer.Parallelogram, Trapezoid, Rhombus, Rectangle, Square. Both pairs of opposite sides are congruent. Both pairs of opposite sides are parallel. All four angles are right angles.

Answer 1

Rectangle and Square.

Step-by-step explanation:

Let's evaluate the characteristics of each quadrilateral:

Parallelogram

Both pairs of opposite sides are congruent - OK

Both pairs of opposite sides are parallel - OK

All four angles are right angles - NO

Trapezoid

Both pairs of opposite sides are congruent - NO

Both pairs of opposite sides are parallel - NO

All four angles are right angles - NO

Rhombus

Both pairs of opposite sides are congruent - OK

Both pairs of opposite sides are parallel - OK

All four angles are right angles - NO

Rectangle

Both pairs of opposite sides are congruent - OK

Both pairs of opposite sides are parallel - OK

All four angles are right angles - OK

Square

Both pairs of opposite sides are congruent - OK

Both pairs of opposite sides are parallel - OK

All four angles are right angles - OK

So, only rectangle and square have all of the distinguishing characteristics listed.