Properties of Parallelograms, Square, Rhombus, Rectangle

A parallelogram is a rhombus if

• Diagonals are congruent

• Diagonals bisect each other

• Opposite sides are congruent

• Diagonals bisect their respective angles

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Tags

CCSS.4.G.A.2

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

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Tags

CCSS.5.G.B.4

Which quadrilaterals have four right angles?

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Tags

CCSS.5.G.B.4

• 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.