Math Properties

Diagonal of a Polygon

A segment that connects two non-consecutive vertices

Convex

A polygon with no diagonals on the outside of the polygon

Concave

A polygon with at least one diagonal on the outside of the polygon

Equilateral

All sides are congruent

Equiangular

All angles are congruent

Regular Polygon

A polygon that is both equilateral and equiangluar

Polygon Interior Angles

(n-2)180

One interior angle of a regular polygon

(n - 2)180/n

Polygon Exterior Angle-Sum

The sum of the measures of the EXTERIOR angles of a polygon, one at each vertex, is 360

One exterior angle of a regular polygon

360/n

Property of sides

Opposite sides are congruent

Opposite sides are parallel

Property of Angles

Opposite angles are congruent

Consecutive angles are supplementary. (same side interior angles)

Property of Diagonals

Diagonals bisect each other

Property of quadrilateral is a parallelogram

• Show that both pairs opposite sides are congruent

• Show that both pairsof opposite sides are parallel

• Show that one pair of opposite are both paralel and congruent

• Show that both pairs of opposite angles are congruent

• Show that consecutive angles are supplementary

• Show that the diagonals bisect each other

Properties/Definition of Rhombus

A parallelogram with four congruent sides

Diagonals are perpendicular

Diagonals bisects a pair of opposite angles

Properties/Definition of Rectangle

A parallelogram with four congruent angles (Equiangular Quadrilateral)

Diagonals are congruent

Properties/Definition of Square

Four congruent sides and four congruent angles

Both a rhombus and rectangles