Properties of Parallelogram Rectangle Square and Rhombus

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.

All squares are rhombi, but not all rhombi are squares.

• true

• false

Tags

CCSS.5.G.B.4

Name that shape. 

• square

• square
  rhombus

• quadrilateral
  parallelogram
  rhombus

• quadrilateral
  parallelogram
  square

Tags

CCSS.5.G.B.4

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

• trapezoid

• parallelogram

• kite

• triangle

Tags

CCSS.4.G.A.2

Which two figures can always be described as quadrilaterals with all sides congruent?

• square and rhombus

• square and rectangle

• rhombus and parallelogram

• rectangle and parallelogram

Tags

CCSS.5.G.B.4

Which of the following properties is true about squares?

• Four congruent sides.

• Exactly one diagonal bisects a pair of opposite angles.

• Exactly one pair of parallel sides.

Tags

CCSS.HSG.CO.C.11

The shown quadrilateral is a rectangle. If AB is 10 what is the length of DC

• 10

• 5

• 15

Tags

CCSS.HSG.CO.C.11

What do a rhombus and a rectangle have in common?

• they are both parallelograms

• they always have four right angles

• they are not polygons

• they have five sides

Tags

CCSS.HSG.CO.C.11