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6 terms

Geometry Ch. 8 Quadrilaterals

STUDY
PLAY
Proving a Quadrilateral is a Parallelogram
1) show both pairs of opposite sides are parallel
2) show both pairs of opposite sides are congruent
3) show both pairs of opposite angles are congruent
4) show one pair of opposite sides are congruent and parallel
5) show the diagonals bisect each other
Rhombus Corollary
-must have 4 congruent sides
-diagonals must be perpendicular
-diagonals bisect a pair of opposite angles
Rectangle Corollary
-must have 4 right angles
-diagonals are congruent
Square Corollary
-must have 4 congruent sides
-must have 4 right angles
Trapezoid Corollary
-bases must be parallel
-if isosceles, each pair of base angles must be congruent, or a pair of base angles must be congruent, or diagonals must be congruent
Kite Corollary
-two pairs of consecutive congruent sides, but opposire sides are not congruent
-diagonals are perpendicular
-exactly one pair of opposite angles are congruent