Special Parallelograms

Theorem 6-9 Each diagonal of a rhombus bisects the opposite angles it connects

Theorem 6-10 The diagonals of a rhombus are perpendicular

Area of a Rhombus

Theorem 6-11 The diagonals of a rectangle are congruent

Is the parallelogram a rhombus or a rectangle? If the diagonal bisects the opposite angles then it’s a rhombus If the diagonals are perpendicular then it’s a rhombus If the diagonals are congruent, then it’s a rectangle

Isosceles Trapezoid - Base angles The base angles are congruent to each other.

Isosceles Trapezoid The diagonals of an isosceles trapezoid are congruent Hint: Isosceles triangle has two equal sides and so the base angles should also be equal

Kite The diagonals of a kite are perpendicular Hint: The t in kite crosses at a 90 degree angle, so should the diagonals