# Polygons

## How to solve the above.

60 is equal to X.

A line is 180.

So 180-60= 120

120 = Y

## PROPERTIES OF PARALLELOGRAMS

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

Trapezoid- The bases are parallel and each lower base angle is supplementary to the upper base angle on the same side.

Isos Trapezoid- The properties of trapezoid are: parallel bases.The legs are congruent. 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.

## TRAPEZOID and ISOSCELES TRAPEZOID EXAMPLE

c is equal to f so f is equal to 65

c + d is equal to 180 so 180-65 is 115

so D is 115, and because D and E are equal they are both 115

## KITE

a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

## Kite works cited

"Harlequin Kite." Harlequin Kite. N.p., n.d. Web. 24 Jan. 2016.

"Champion Kite Shield." - Path of Exile Wiki. N.p., n.d. Web. 24 Jan. 2016.

## Kite example from above

3 and the 52 one are equal so 3 is 52 too.

1 is 90 because where its at it forms a right angle.

3 angles in a triangle total 180

so 52 plus 90 is 142 and then thats how i got 38

Shapes Shapes Everywhere!

## Works Cited

"Bing." Quadrilaterals. N.p., n.d. Web. 19 Jan. 2016.

"3+types+of+parallelograms - Google Search." 3+types+of+parallelograms - Google Search. N.p., n.d. Web. 19 Jan. 2016.

"Rhombus+shaped+things - Google Search." Rhombus+shaped+things - Google Search. N.p., n.d. Web. 19 Jan. 2016.

"Redirect Notice." Redirect Notice. N.p., n.d. Web. 19 Jan. 2016.

"Redirect Notice." Redirect Notice. N.p., n.d. Web. 23 Jan. 2016.

"Google Image Result for Https://ef004.k12.sd.us/ch8not9.gif." Google Image Result for Https://ef004.k12.sd.us/ch8not9.gif. N.p., n.d. Web. 23 Jan. 2016.

"Google Image Result for Https://ef004.k12.sd.us/ch8not10.gif." Google Image Result for Https://ef004.k12.sd.us/ch8not10.gif. N.p., n.d. Web. 23 Jan. 2016.

Shmoop Editorial Team. "Rectangles." Shmoop.com. Shmoop University, Inc., 11 Nov. 2008. Web. 23 Jan. 2016.

"Lesson Consecutive Angles of a Parallelogram." Lesson Consecutive Angles of a Parallelogram. N.p., n.d. Web. 23 Jan. 2016.

"CK-12 Foundation." Proving Quadrilaterals Are Parallelograms. N.p., n.d. Web. 23 Jan. 2016.

"6-2 Properties of Parallelograms Page 294 Objective: To Use Relationships among Sides, Angles, Diagonals or Transversals of Parallelograms."⚡Presentation "" N.p., n.d. Web. 23 Jan. 2016.

"Art Deco Suitcase in Trapezoid Shape." Etsy. N.p., n.d. Web. 23 Jan. 2016.

"Spherical Earth: Fact or Hippie Fantasy?" ReligiousForums.com. N.p., n.d. Web. 23 Jan. 2016.