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Quadrilaterals

Hyatt

Angle Bisector If 3 sides of one triangle are congruent to three sides of a second triangle, then they are congruent.
Square When 3 or more lines, rays or segments intersect in the same point.
Rhombus Has a pair of congruent base angles.
Kite ..is a quadrilateral if the parallel sides are the bases.
Postulate Its diagonals are perpendicular
Triangle Median ...if and only if it is a rombus and a rectangle
Isosceles Trapezoid ...if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.
Legs ...if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
Isosceles Trapezoid A parallelogram with four congruent sides.
Trapezoid A parallelogram with four right angles.
Kite When its opposite sides are congruent
Kite ...if and only if its diagonals are congruent
Side-Angle-Side A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent.
Angle-Side-Angle Is a statement that can be proven.
Rectangle Is a rule that is accepted without proof.
Angle-Angle-Side ...is a quadrilateral with exactly one pair of parallel sides
Rectangle Exactly one pair of opposite angles are congruent
Concurrent Lines A segment from a vertex to the midpoint of the opposite side.
Isosceles Trapezoid The nonparallel sides of a trapezoid
Isosceles Trapezoid ...If and only if its diagonals are perpendicular.
Theorem When the legs of a trapezoid are congruent.
Rhombus ...if and only if it has four right angles
Trapezoid The segment that connects the midpoints of its legs.
Square When each pair of base angles is congruent.
Side-Side-Side A quadrilateral with both pairs of opposite sides parallel
Parelellogram A ray that divides an angle into two congruent adjacent angles.
Rhombus A parallelogram with four congruent sides and four right angles
Parallellogram ..if and only if its diagonals are congruent
Trapezoid Midsegment ...if two angles and a non-included side of one triangle are congruent to two angles and the corresponding no-inclulded side of a second triangle, then the two triangles are congruent.

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