Properties of Diagonals in Quadrilaterals

true or false A parallelogram is a square.

sometimes

Diagonals of a parallelogram are congruent.

sometimes

Diagonals of a rhombus are equal.

sometimes

Diagonals of a square are equal.

always

Diagonals of a rectangle are equal.

always

Diagonals of a trapezoid are equal.

sometimes

Diagonals of a kite are equal.

sometimes

The diagonals of a kite are angle bisectors.

sometimes

A kite is a rhombus.

sometimes

A kite is a square.

sometimes

A kite is a trapezoid.

never

A kite is a rectangle.

sometimes

Diagonals of a rhombus are perpendicular.

always

Diagonals of a rectangle are perpendicular.

sometimes

Diagonals of a square are perpendicular.

always

Diagonals of a trapezoid are perpendicular.

sometimes

Diagonals of a parallelogram are perpendicular.

sometimes

Diagonals of a kite are perpendicular.

always

Opposite sides of a parallelogram are equal.

always

If the diagonals of a quadrilateral are congruent, the figure is a rectangle.

sometimes

If two lines are cut by a transversal, alternate interior angles are congruent.

sometimes

Two lines perpendicular to a third are parallel.

always

If the diagonals of a quadrilateral bisect each other, then the figure is a rhombus.

sometimes

If the diagonals of a quadrilateral are perpendicular, the figure is a trapezoid.

sometimes

If two adjacent angles are congruent, they are right angles.

sometimes