Aleika B.

Quadrilateral

Def: four-sided polygon

Parallelogram

Def: Both pairs of opposite sides parallel

Thm: Opposite sides parallel

Thm: Opposite angles congruent

Thm: Diagonals bisect each other

Thm: Any pair of consecutive angles supplement

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Rectangle

Def: At least one right angle

Thm: All angles are right angles

Thm: Diagonals are congruent

Rhombus

Def: At least two consecutive sides are congruent

Thm: All sides congruent

Thm: Diagonals bisect angles

Thm: Diagonals are perpendicular bisectors of each other

Thm: Diagonals divide into four congruent right triangles

Square

Def: Both a rectangle and a rhombus

Thm: Diagonals form four isosceles right triangles.

Kite

Def: two disjoint pairs of consecutive sides are congruent

Thm: Diagonals perpendicular

1/2 Thm: one diagonal perpendicular bisector of the other

1/2 Thm: one diagonal bisector a pair of opposite angles

1/2 Thm: one pair of opposite angles congruent

Trapezoid

Def: Exactly one pair of parallel sides (bases)

Isosceles Trapezoid

Def: Nonparallel sides are congruent (legs)

Thm: Lower base angles congruent

Thm: Upper base angles congruent

Thm: Diagonals congruent

Thm: Any lower base angle is supplement to any upper base angle

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