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McDougal Littel Geometry
a parallelogram with four congruent sides
a parallelogram with four right angles
a parallelogram with four congruent sides and four right angles (combination of a rhombus and a rectangle)
(1) a parallelogram is a rhombus if and only if its diagonals are perpendicular (2) A parallelogram is a rhombus is a rhombus if and only if each diagonal bisects a pair of opposite angles
(1) A parallelogram is a rectangle if and only if its diagonal are congruent
a quadrilateral with exactly one pair of parallel sides
the parallel side
the nonparallel sides
the legs of the trapezoid are congruent
Isosceles trapezoid Theorems
(1) a trapezoid is isosceles, then each pair of base angles congruent (2) Atrapezoid is isosceles if and only if its diagonals are congruent
Mid segment theorem for Trapezoids
The midsegment og a trapazoid is parallel to each base and its length is one half the sum of the lengths of the bases
a quadrilateral that has two pairs of consecutive congruent sides
(1) a quadrilateral is a kite, then its diagonals are perpendicular (2) If a quadrilatrilateral is a kite, then exactly one pair of opposite angles are congruent