Parallelogram Rectangle Rhombus and Square Sides and Diagonals

Select all the properties of parallelograms:

• opposite sides are parallel

• opposite sides are congruent

• opposite angles are congruent

• consecutive angles are supplementary

• diagonals bisect eachother

A rectangle is a parallelogram and also has which properties:

• four right angles

• diagonals are congruent

• diagonals form a right angle AKA are perpendicular

• four congruent sides

A square is a parallelogram which includes all of which properties?

• four right angles

• diagonals bisect eachother and are congruent

• diagonals form a right angle AKA are perpendicular

• four congruent sides

• diagonals bisect opposite angles

Which quadrilaterals have two pairs of opposite sides that are parallel?

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Which quadrilaterals have two pairs of opposite sides that are congruent?

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Which quadrilaterals have four congruent sides?

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Which quadrilaterals have four right angles?

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Which quadrilaterals have consecutive angles (angles next to eachother) that are supplementary (=180°)?

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Which quadrilaterals have diagonals that bisect eachother?

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Which quadrilaterals have diagonals that are perpendicular?

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Answer explanation

Diagonals will be perpendicular if the parallelogram has four congruent sides. Only rhombi and squares have four congruent sides.