# Polygons

### Taylor Newman

## Quadrilateral Chart (1st Block)

## Parallelograms (2nd Block )

## Square a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or right angles). | ## Rhombus A rhombus is a parallelogram with four equal sides, like a square. Unlike a square, however, a rhombus has opposite and equal acute angles, and opposite equal obtuse angles. | ## Rectangle a rectangle is any quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°). It can also be defined as a parallelogram containing a right angle. |

## Square

**square**is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or right angles).

## Rhombus

**rhombus**is a parallelogram with four equal sides, like a square. Unlike a square, however, a

**rhombus**has opposite and equal acute angles, and opposite equal obtuse angles.

## parallelogram Examples (3rd Block)

## How we knew how to solve this..

## Properties of a parallelogram (4th block)

There are six important properties of parallelograms to know:

1. Opposite sides are congruent (AB = DC).

2. Opposite angels are congruent (D = B).

3. Consecutive angles are supplementary (A + D = 180°).

4. If one angle is right, then all angles are right.

5. The diagonals of a parallelogram bisect each other.

6. Each diagonal of a parallelogram separates it into two congruent triangles.

## Trapezoid and Isosceles Trapezoid (5th Block)

A trapezoid isosceles is a trapezoid with legs that are congruent

**Trapezoid properties:**

- the bases are parallel by definition
- each lower base angle is supplementary to the upper base angle on the same side.

**Isosceles Trapezoid Properties:**

- The legs are congruent by definition.
- The lower base angles are congruent.
- The upper base angles are congruent.
- Any lower base angle is supplementary to any upper base angle.
- The diagonals are congruent.

## Trapezoids and Isosceles trapezoid example

## How we solved it

## Kite (block 7)

**quadrilateral**whose four

**sides**can be grouped into two pairs of equal-length

**sides**that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length

**sides**, but they are opposite to each other rather than adjacent.

## Kite Example (8th block)

## Video Example - (9th block)

## Block 10- Work Cited

(https://www.vocabulary.com/dictionary/rhombus) (Rhombus definition)

https://en.wikipedia.org/wiki/Square (square definition)

https://en.wikipedia.org/wiki/Rectangle (definition for rectangle)

http://www.mathplanet.com/education/geometry/quadrilaterals/properties-of-parallelograms

http://quadrilateralproject.weebly.com/

http://www.dummies.com/how-to/content/the-properties-of-trapezoids-and-isosceles-trapezo.html

http://geometrychapter8.wikispaces.com/Trapezoid+%26+Isosceles+Trapezoid+-+P3 example 2