Geometry 5.5-Polygon Rules

Parallelograms

1. The opposite sides are parallel by definition

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

Rectangles

1. All properties of parallelograms apply by definition

2. All angles are right angles

3. The diagonals are congruent

Rhombus

1. All properties of a parallelogram apply by definition

2. All sides are congruent

3. The diagonals bisect the angles

4. The diagonals are perpendicular bisectors of each other

5. The diagonals divide the rhombus into four congruent right triangles

Squares

1. All properties of a rectangles apply by definition

2. All properties of a rhombus apply by definition

3. The diagonals form four isosceles right triangles

Kites

1. Two disjoint pairs of consecutive sides are congruent by definition

2. The diagonals are perpendicular

3. One of the diagonals bisects a pair of opposite sides

4. One pair of opposite angles are congruent

Isosceles Trapezoids

1. The legs are congruent by definition

2. The bases are parallel by definition

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