5.5 Properties of Quadrilaterals
Properties of Parallellograms
1.The opposite sides are parallel.
2.The opposite sides are congruent.
3.The opposite angles are congruent.
4.The diagonals bisect each other.
5.Any pair of consecutive angles are supplementary.
Properties of Rectangles
1.All the properties of a Parallelogram.
2.All angles are right angles.
3.The diagonals are congruent.
Properties of Kites
1.Two disjoint pairs of consecutive sides are congruent.
2.The diagonals are perpendicular.
3.One diagonal is the perpendicular bisector of the other.
4.One of the diagonals bisects a pair of opposite angles.
5.One pair of opposite angles are congruent.
Properties of Rhombuses
1.All the properties of a parallelogram.
2.All the properties of a kite.
3.All sides are congruent.
4.The diagonals bisect the angles.
5.The diagonals bisect the angles.
6.The diagonals are perpendicular bisectors of each other.
7.The diagonals divide the rhombus into four congruent right triangles.
Properties of Squares
1. All the properties of a rectangle.
2. All the properties of a square.
3. The diagonals form 4 isoceles right triangles.
Properties of Isoceles Trapezoid
1.The legs are congruent.
2.The bases are parallel.
3.The lower base angles are congruent.
4.The upper base angles are congruent.
5.The diagonals are congruent.
6.Any lower base angle is supplementary to any upper base angle.
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