# Polygons

### Andrew Carter, Dane Harter 7th hour

## Chart Categorizing Different Quadrilaterals

## Parallelograms

## Rectangles

A rectangle is a parallelogram with four right angles.

## It says "OPEN" inside of a rectangle | ## These bricks are rectangles |

## It says "OPEN" inside of a rectangle

## These bricks are rectangles

## Rhombuses

A rhombus is a parallelogram with four congruent sides

## Squares

A square is a parallelogram with four right angles and four congruent sides.

## A checkerboard is made out of different colored squares | ## The LEGO logo is inside of a square |

## A checkerboard is made out of different colored squares

## Example of a Parallelogram

Angle 2 = 58 by alternate interior angles theorem

Angle 3 = 58 by the same side interior angles theorem

Angle 4 = 32 because 90+58+x=180 and solve for x=32

## Properties of Parallelograms

## Trapezoid and Isosceles Trapezoid

A quadrilateral with exactly one pair of parallel sides

## Trapezoid This street paint is in the shape of a trapezoid | ## Isosceles Trapezoid This table is a trapezoid with two congruent sides |

## Trapezoid This street paint is in the shape of a trapezoid

## Isosceles Trapezoid This table is a trapezoid with two congruent sides

## Trapezoid Example

Angle

*S*= 106 because it is congruent to angle RAngle *Q* = 74

Angle *P* = 74

## Kites

A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent

## Kite Example

Angle 3 = 52

Angle 2 = 38 because 90+52+x=180; 142+x=180; x=38

I am a parallelogram by Peter Weatherall