Polygons n' Smore

Ana Martinez and Ryder Jones, 8th Hour

Hand Drawn Quadrilateral Chart

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Examples of Parallelograms

Rhombus

A rhombus is a parallelogram with 4 congruent sides

The rhombus has 4 congruent sides.

Rectangle

A parallelogram with 4 right angles.

The boy's hands make a rectangle with 4 right angles.

Square

A parallelogram with 4 congruent sides and 4 right angles.

The squares shown in the rubix cube have 4 congruent sides and 4 right angles.

Rhombus Problem

<1=90 degrees because diagonal of a rhombus are right angles.

<2=58 degrees because of Alternate Interior Angles.

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

M<1+M<3+M<4=180 degrees by Triangle Angle Sum Theorem.

90 degrees+58 degrees +M<4=180 degrees.

148+M<4+ 180 degrees.

M<4=32 degrees.

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Parallelogram Properties

Trapezoid

A quadrilateral with exactly one pair of parallel sides

Isosceles Trapezoid

A trapezoid with legs that are congruent

Isosceles Trapezoid Example

65 degrees+m<D=180 degrees

Subtract 65 degrees from each side

m<D=115 degrees

m<E= 115 degrees because of consecutive angles

m<F=65 degrees because of consecutive angles.

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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

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Don't Understand Parallelograms?

Works Cited

"I Am a Parallelogram by Peter Weatherall." SchoolTube. N.p., n.d. Web. 24 Jan. 2016.

"Isosceles+trapezoid+in+real+life - Google Search." Isosceles+trapezoid+in+real+life - Google Search. N.p., n.d. Web. 20 Jan. 2016.

"Kite+in+real+life - Google Search." Kite+in+real+life - Google Search. N.p., n.d. Web. 20 Jan. 2016.

"Kite+in+real+life - Google Search." Kite+in+real+life - Google Search. N.p., n.d. Web. 20 Jan. 2016.

"Kite+shape - Google Search." Kite+shape - Google Search. N.p., n.d. Web. 20 Jan. 2016.

"Pearson Sign In." Pearson Sign In. N.p., n.d. Web. 24 Jan. 2016.

"Rectangle+in+real+world - Google Search." Rectangle+in+real+world - Google Search. N.p., n.d. Web. 20 Jan. 2016.

"Square+in+real+world - Google Search." Square+in+real+world - Google Search. N.p., n.d. Web. 20 Jan. 2016.

"Trapezoid+in+real+life - Google Search." Trapezoid+in+real+life - Google Search. N.p., n.d. Web. 20 Jan. 2016.