Squares Rhombi Properties

Find the value of x if m∠CDA = 9x+3 and m∠EDA = 6x+15.

• 39

• 4

• 4.8

• -4

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 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 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.

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.