Squares, Rectangles, 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.

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

• true

• false

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

• true

• false

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.

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

• rectangle

• rhombus

• parallelogram

• trapezoid

• square

Colton drew a parallelogram with four sides of equal length and two pairs of equal angles. What shape did he draw?

• kite

• rectangle

• square

• trapezoid

A rhombus has all of the properties of a 

• Parallelogram

• Trapezoid

• Kite

• Square

ABCD is a rhombus
What is the measurement of angle AED? 

• 60 

• 45

• 90

• 180

Which quadrilateral is also considered a rhombus, rectangle, and parallelogram?

• Trapezoid

• Triangle

• Square

• Hexagon