Sara Beberman Olivia DeFlumeri Olivia Huynh Amanda Okaka

KITE PROPERTIES  Two sets of adjacent sides are congruent  One set of congruent angles opposite each other  Diagonals are perpendicular  The longer diagonal of the kite bisects the shorter diagonal -A quadrilateral with two distinct pairs of congruent adjacent sides. A B C D AB ≅ AD, DC ≅ BC, (Two sets of congruent adjacent sides) AE is perpendicular to DB DE ≅ EB (The longer diagonal bisects the shorter diagonal) <ADC ≅ <ABC (One set of angles congruent) E

Rhombus: a parallelogram with a pair of congruent adjacent sides Properties:  Opposite sides are congruent and parallel  AB  BC  CD  DA AB // CD and BC // DA  Opposite angles are congruent  ABC   ADC and  BAD   BCD  Consecutive angles are supplementary  BAD +  ABC = 180  and  ADC +  DCB = 180   BAD +  ADC = 180  and  ABC +  DCB =180   Diagonals bisect each other BO  DO and AO  CO  Diagonals are perpendicular  AOB =  BOC =  COD =  DOA = 90   The diagonals bisect the angles  BAC   DAC,  ABD   CBD,  BCA   DCA, and  CDB   ADB

Trapezoid: A quadrilateral, which has only one set of opposite sides parallel Properties:  Exactly one pair of opposite sides is parallel BC//AD  Consecutive angles on different bases are supplementary  DAB +  ABC = 180  and  ADC +  BCD = 180 

Properties of a RectangleProperties of a Rectangle both pairs of opposite sides are congruent and parallel both pairs of opposite sides are congruent and parallel diagonals are congruent diagonals are congruent diagonals bisect one another diagonals bisect one another consecutive angles are supplementary consecutive angles are supplementary both pairs of opposite angles are congruent both pairs of opposite angles are congruent has 4 right angles has 4 right angles Ex. * AB is Congruent and Parallel to DC, AD is Congruent and Parallel to BC * Diagonal X and Diagonal Y are Congruent and bisect one another * <A + <D = 180˚, <B + <C = 180˚, <A + <B = 180˚, <D + <C = 180˚ <A ≅ <C, <B ≅ <D<A ≅ <C, <B ≅ <D <A, <B, <C, and <D are all right angles (each equal 90˚) <A, <B, <C, and <D are all right angles (each equal 90˚) AB C D XY

* Definition – A parallelogram with all right angles and all side lengths congruent Properties of a Square: Properties of a Square: All sides are congruent All sides are congruent Opposite sides are parallel Opposite sides are parallel All angles are congruent (all right angles) All angles are congruent (all right angles) Consecutive angles are supplementary Consecutive angles are supplementary Diagonals are congruent Diagonals are congruent Diagonals are perpendicular Diagonals are perpendicular Diagonals bisect one another Diagonals bisect one another Diagonals bisect the angles Diagonals bisect the angles Ex. AB is congruent to BC is congruent to CD is congruent to ADAB is congruent to BC is congruent to CD is congruent to AD AB is parallel to DC, AD is parallel to BCAB is parallel to DC, AD is parallel to BC <A, <B, <C, <D are all right angles (all congruent)<A, <B, <C, <D are all right angles (all congruent) <ABC + <BCD = 180°<ABC + <BCD = 180° BD = ACBD = AC AC is perpendicular to BDAC is perpendicular to BD AC bisects BD, BD bisects ACAC bisects BD, BD bisects AC BD bisects <ABC and <ADC, AC bisects <BAD, <BCDBD bisects <ABC and <ADC, AC bisects <BAD, <BCD A square is both a rectangle and a rhombus.