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8.4-8.5

TermDefinition
Rhombus A parallelogram with four congruent sides
Rectangle A parallelogram with four right angles
Square A parallelogram with four congruent sides and four right angles.
Rhombus Corollary A quadrilateral is a rhombus if and only if it has four congruent sides.
Rectangle Corollary A quadrilateral is a rectangle if and only if it has four right angles.
Square Corollary A quadrilateral is a square if and only if it is a rhombus and a rectangle
Theorem 8.11 A parallelogram is a rhombus if and only if its diagonals are perpendicular
Theorem 8.12 A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles.
Theorem 8.13 A parallelogram is a rectangle if and only if its diagonals are congruent
Trapezoid A quadrilateral with exactly one pair of parallel sides called bases. The nonparallel sides are legs
Bases of a Trapezoid The parallel sides of a trapezoid
Bases Angles of a Trapezoid Either pair of angles whose common side is a base of a trapezoid
Legs of a trapezoid The nonparallel sides of a trapezoid
Theorem 8.14 IF a trapezoid is isosceles, then each pair of base angles is congruent.
Theorem 8.15 If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid
Theorem 8.16 A trapezoid is isosceles if and only if its diagonals are congruent.
Mid-segment of a trapezoid A segment that connects the midpoints of the legs of a trapezoid
mid-segment Theorem for trapezoids The mid segment of a trapezoid is parallel to each base and its length is one half the sum of each lengths of the bases.
kite A quadrilateral that has two pairs of consecutive congruent sides, but in which opposite sides are not congruent
Theorem 8.18 IF a quadrilateral is a kite, then its diagonals are perpendicular
Theorem 8.19 IF a quadrilaterals is a kite, then exactly one pair of opposite angles are congruent
Created by: jfischer1234
 

 



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