A polygon is any closed shape with straight edges, or sides. Side: a segment that forms a polygon Vertex: common endpoint of sides. Diagonal: segment that connects 2 non-consecutive vertices.

a c b d e abcde is a polygon a bc abc is a pollygon diagonal side vertex

All vertices are pointing out ALL regular polygons are convex One ore more vertices are pointing in

Convex polygons Concave polygons

When all sides in a polygon are congruent When all angles in a polygon are congruent

Equilateral Polygons Equiangular Polygons

To know how to find the measure of the angles of a polygon you use this formula: (n-2)180. n stands for the number of sides each polygon has for example, a rectangle has 4 Sides so the formula is 4-2=2 times 180=360. The sum of all angles in a rectangle Is 360. To find the measure of each angle, divide the answer you get using the formula Above, by n, or the number of sides. For the rectangle it would be 360/4=90.

(4-2)180= /4=90 (5-2)180= /5=108 (6-2)180=720

If a quadrilateral is a parallelogram then its opposite sides are congruent. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

If a quadrilateral is a parallelogram, then its opposite angles are congruent. If both pairs of opposite angles of a quadrilateral are congruent, then the quadriliateral is a parallelogram.

If a quadrilateral is a parallelogram, then its diagonals bisect each other. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

If a quadrilateral is a parallelogram, then its consecutive angles are supplementary. If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram.

Opposite angles are congruent Opposite sides are congruent Consecutive angles are supplementary Diagonals bisect each other Opposite sides are parallel One set of congruent and parallel sides

Consecutive angles are supplementary Diagonals bisect each other Congruent sides Congruent Opposite Angles Opposite sides are parallel.One set of congruent and parallel sides.

A parallelogram with four right angles Diagonals are congruent

A parallelogram that is both a rhombus and a rectangle. All four sides and all four angles are congruent Diagonals are congruent and perpendicular bisectors of each other

A parallelogram with four congruent sides Diagonals are perpendicular

Diagonals are congruent 4 congruent angles Always regular polygon Sort of mixture between rhombus and rectangle Diagonals are perpendicular 4 congruent sides Polygon Quadrilateral Parallelogram Diagonals bisect each other

A quadrilateral with a pair of parallel sides Isosceles trapezoid: one with a pair of congruent legs Diagonals are congruent Base angles are congruent (both sets) Opposite angles are supplementary

Isosceles Trapezoid Both labeled angles are supplementary to each other.

A quadrilateral with 2 different pairs of congruent sides. Two pairs of congruent adjacent sides Diagonals are perpendicular One pair of congruent angles (the ones formed by the non-congruent sides) One of the diagonals bisects the other diagonal