EOC Prep Quadrilaterals

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Presentation transcript:

EOC Prep Quadrilaterals

Kite Kite: a quadrilateral with exactly two distinct pairs of congruent consecutive sides.

Kite Conjectures The nonvertex angles of a kite are congruent. The diagonals of a kite are perpendicular.

Trapezoid A quadrilateral with exactly one pair of parallel sides.

Angle A and D = congruent. Angle B and C= congruent. Trapezoid Angle A and D = congruent. Angle B and C= congruent. Angle A and B = 180. Angle C and D = 180.

Trapezoid Midsegment Conjecture The midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the lengths of the bases.

Properties of Parallelograms Parallelogram: 2 sets of non-consecutive parallel sides. The opposite angles of a parallelogram are congruent.

Special Parallelograms Rhombus: two pairs of parallel sides and 4 congruent sides. Rectangle: two pairs of parallel sides and 4 congruent angles. Square: Two pairs of parallel sides, 4 congruent sides and 4 congruent angles.

Rhombus

Rectangle The diagonals of a rectangle are congruent and bisect each other. The angles are NOT bisected.

Square The diagonals of a square are congruent, perpendicular and bisect each other. The angles are bisected.