Straight outta polygons

Joe Cazedessus and Trevor Beard, 8th hour

Hand Drawn Quadrilaterals

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parallelograms

Parallelogram example

<1=90 because diagonals of a rhombus are right angles

<2=58 because of alternate interior angles

<3=58 because each diagonal bisects a pair of opposite angles

m<1+m<3+m<4=180 by triangle angle sum theorem

90+58+m<4=180

148+m<4=180

m<4=32

Properties of Parallelograms

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Trapezoid and isosceles trapezoid

Trapezoid

a convex quadrilateral with at least one pair of parallel sides

Isosceles Trapezoid

a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides.

Trapezoid and Isosceles Triangle Example

65 degree + m<D = 180 degrees

Subtract 65 degrees from both sides.

m<D = 115 degrees

m<E = 115 degrees because of consecutive angles.

m<F = 65 degrees because of consecutive angles.

Kites

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 Example

m<1 = 90 degrees

m<3 = 52 degrees

m<1 + m<2 + 52 degrees = 180 degrees

90 +m<2 + 52 = 180 degrees

142 + m<2 = 180 degrees

m<2 = 38

Parallelogram Song Video

Works Cited

"Stacks+of+money - Google Search." Stacks+of+money - Google Search. N.p., n.d. Web. 25 Jan. 2016.


"Real+life+rhombus - Google Search." Real+life+rhombus - Google Search. N.p., n.d. Web. 25 Jan. 2016.


"Red+dice - Google Search." Red+dice - Google Search. N.p., n.d. Web. 25 Jan. 2016.


"Real+life+trapezoid - Google Search." Real+life+trapezoid - Google Search. N.p., n.d. Web. 25 Jan. 2016.


"Kites+in+real+life - Google Search." Kites+in+real+life - Google Search. N.p., n.d. Web. 25 Jan. 2016.


"Kites+in+real+life - Google Search." Kites+in+real+life - Google Search. N.p., n.d. Web. 25 Jan. 2016.