# Polygons

### Casey Crouch and Elizabeth Peroyea, 7th Hour

## Quadrilateral Chart

## Parallelograms

## Parallelogram Example

## Properties of Parallelograms

## Theorem 6-3

If a quadrilateral is a parallelogram, then its opposite sides are congruent.

## Theorem 6-4

If a quadrilateral is a parallelogram, its consecutive angles are supplementary.

## Theorem 6-5

If a quadrilateral is a parallelogram, then its opposite angles are congruent.

## Theorem 6-6

If a quadrilateral is a parallelogram, then its diagonal bisects each other.

## Theorem 6-8

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

## Theorem 6-9

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

## Theorem 6-10

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

## Theorem 6-11

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

## Theorem 6-12

If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram.

## Trapezoid and Isosceles Trapezoid

## Trapezoid and Isosceles Trapezoid Example

You multiply by 2 to get rid of the half.

You combine like terms, then divide to get 6 = x.

## Kite

## Kite Example

Angle 2 is 38 + 90 + x = 180 because it is a triangle. Angle 2 is 52.

Angle 3 is 38 because it is congruent to the other angle because the sides are congruent.

Angle 4 is 90 + 53 + x = 180 because it is a triangle. Angle 4 is 37.

Angle 5 is 53 because it is congruent to the other angle because the sides are congruent.

## Embedded Video

Rhombus Song Video

## Works Cited

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*Styledicor*. N.p., 31 Jan. 2015. Web. 20 Jan. 2016. <http://www.styledicor.com/trapezoidal-pigeon-creek-residence-in-western-michigan-by-lucid-architecture>. - "Trapezoid-Shaped Eye Bank Building Hugs a Slope of Stepped Green Terraces."
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*Etsy*. N.p., n.d. Web. 20 Jan. 2016. <https://www.etsy.com/search/vintage?q=trapezoid%2Bpurse>. *Forbes*. Forbes Magazine, n.d. Web. 20 Jan. 2016. <http://www.forbes.com/forbes/welcome/>.- "Neon Colors Rock Photo: Kite."
*Kite*. N.p., n.d. Web. 20 Jan. 2016. <http://www.fanpop.com/clubs/neon-colors-rock/images/35247302/title/kite-photo>. - "Kite Images - Kites Festival."
*Kites Festival*. N.p., n.d. Web. 20 Jan. 2016. <http://kitesfestival.com/kite-images/>. - "Rhombus Song Video."
*YouTube*. YouTube, n.d. Web. 20 Jan. 2016. <https://www.youtube.com/watch?v=mZOkpmh_ARw>.

Because the sides of a parallelogram are equal, you equal them to each other.