Download Special Parallelograms

Special Parallelograms
Conditions for Special Parallelograms
If you have a parallelogram:
- with one right angle, you have a rectangle.
- with congruent diagonals, you have a rectangle.
- with one pair of consecutive congruent sides, you
have a rhombus.
- with perpendicular diagonals, you have a rhombus.
- with a diagonal bisecting one pair of opposite
angles, you have a rhombus.
6-6 Kites and Trapezoids
kite - a quadrilateral with exactly two pairs of
congruent, consecutive sides
-
diagonals are perpendicular (not congruent)
exactly one pair of opposite angles congruent
(angles formed by non-congruent sides)
Angle formed by consecutive, congruent sides
are bisected by the diagonal
trapezoid - a quadrilateral with exactly one pair
of parallel sides.
- the parallel sides are called bases
- the nonparallel sides are called legs
isosceles trapezoid - trapezoid whose legs are
congruent
- each pair of base angles are congruent
- diagonals are congruent
If a trapezoid has one pair of congruent base angles,
then it is isosceles.
Midsegment of a Trapezoid - the segment whose
endpoints are the midpoints of the legs.
Trapezoid Midsegment Theorem:
The trapezoid midsegment is parallel to the
bases and its length is half the sum of the base
lengths (the average of the base lengths).