Properties of Parallelogram and Rhombus

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.

Which quadrilaterals have diagonals that bisect opposite angles?

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Answer explanation

Diagonals bisect opposite angles when you have four congruent sides, and square and rhombi have four congruent sides.

Which quadrilaterals have diagonals that are congruent?

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Answer explanation

Diagonals are congruent when there are 4 right angles, and only squares and rectangles have 4 right angles.

A _______________ is a quadrilateral with two sets of parallel sides.

• trapezium

• parallelogram

• kite

• triangle

A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides.

• trapezium

• rhombus

• parallelogram

• rectangle

Name that shape. 

• square

• square
  rhombus

• quadrilateral
  parallelogram
  rhombus

• quadrilateral
  parallelogram
  square

What are the properties of a Rhombus?

• All sides are congruent

• Diagonals are perpendicular

• Opposite angles are congruent

• One pair of parallel sides

• Consecutive angles are supplementary

Which quadrilateral(s) have opposite sides that are parallel?

• Parallelogram

• Rectangle

• Square

• Rhombus

• Trapezium