Unit 13: Quadrilaterals

What is a parallelogram?

A quadrilateral with both pairs of opposite sides parallel.

What can be said about the opposite sides of a parallelogram?

Opposite sides are congruent.

What can be said about the opposite angles of a parallelogram?

Opposite angles are congruent.

What is true about the diagonals of a parallelogram?

Diagonals bisect each other.

What can be said about the same-side interior angles of a parallelogram?

All of the same-side interior angles are supplementary.

What is a rhombus?

A parallelogram with four congruent sides.

What do the diagonals of a rhombus do to the opposite angles?

They bisect opposite angles.

How are the diagonals of a rhombus oriented?

The diagonals are perpendicular.

What properties does a rhombus have?

It contains all the properties of a parallelogram.

What is a rectangle?

A parallelogram with four right angles.

What is true about the diagonals of a rectangle?

The diagonals are congruent to each other.

What properties does a rectangle contain?

All four properties of a parallelogram.

What is true about the hypotenuses in a rectangle?

The hypotenuses are equal to each other.

What type of triangles does a rectangle contain?

Isosceles triangles.

What is a square?

A parallelogram with four right angles and four congruent sides.

What properties does a square contain from a rhombus?

Two properties of a rhombus.

What property does a square contain from a rectangle?

One property of a rectangle.

What properties does a square contain from a parallelogram?

All four properties of a parallelogram.

What is a trapezoid?

A quadrilateral with exactly one pair of parallel sides called bases.

Is a trapezoid a parallelogram?

No, a trapezoid is not a parallelogram.

What is true about the same-side interior angles of a trapezoid?

They are supplementary.

What is an isosceles trapezoid?

A trapezoid with two congruent legs.

What is true about the diagonals of an isosceles trapezoid?

The diagonals are congruent to each other.

What can be said about the base angles of an isosceles trapezoid?

The base angles are congruent.

What is a kite in geometry?

A quadrilateral with two pairs of consecutive congruent sides and non-congruent opposite sides.

What is true about the diagonals of a kite?

The diagonals are perpendicular.

What does the long diagonal of a kite do to the opposite angles?

The long diagonal bisects the opposite angles.

What does the long diagonal of a kite do to the short diagonal?

The long diagonal bisects the short diagonal.

How many pairs of opposite angles in a kite are congruent?

Exactly one pair of opposite angles are congruent.

Is a kite a parallelogram?

No, a kite is never a parallelogram.

What type of triangles does a kite contain?

It contains isosceles triangles.