Polygons
Casey Crouch and Elizabeth Peroyea, 7th Hour
Quadrilateral Chart
Parallelograms
a rectangle in everyday life
a square in everyday life
a rhombus in everyday life
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
MN is half of QR and PS.
You multiply by 2 to get rid of the half.
You combine like terms, then divide to get 6 = x.
Kite
Kite Example
Where angle 1 is, is always 90 because the lines intersect each other.
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
- "Pearson Sign In." Pearson Sign In. N.p., n.d. Web. 19 Jan. 2016. <https://www.pearsonrealize.com/community/program/a644b293-e84c-31fb-b83e-f54e6edc1d18/12/tier/6af2b0ef-4b5a-32d0-91f0-ff67502075d5/13>.
- "Beautiful Pictures of New York City by Trey Ratcliff | Travel Photography."Stuck in Customs New York City Category. N.p., n.d. Web. 19 Jan. 2016. <http://www.stuckincustoms.com/category/travel/usa/new-york/new-york-city/page/4/>.
- "Pepsi: "TIMES SQUARE" Print Ad." Advertising Archive. Commercials Database. N.p., n.d. Web. 19 Jan. 2016. <http://www.coloribus.com/adsarchive/prints/pepsi-times-square-12740855/>.
- "Shape Shifter." Shape Shifter. N.p., n.d. Web. 19 Jan. 2016. <http://gbdmagazine.com/2013/23-edward-minskoff-equities/>.
- "Math Movement." RSS. N.p., n.d. Web. 19 Jan. 2016. <http://sites.davidson.edu/mathmovement/chocolate-chip-pi/>.
- "Playing With A New Toy: All Clad Waffle Maker & Buttermilk Waffles - The Spiced Life." The Spiced Life. N.p., 07 May 2010. Web. 19 Jan. 2016. <http://www.thespicedlife.com/2010/05/playing-with-a-new-toy-all-clad-waffle-maker-buttermilk-waffles.html>.
- "Pie-tition Prime Minister Stephen Harper." PETA Pietition Prime Minister Stephen Harper Comments. N.p., 03 Feb. 2010. Web. 19 Jan. 2016. <http://www.peta.org/blog/pietition-prime-minister-stephen-harper/>.
- "Trapezoidal Pigeon Creek Residence in Western Michigan by Lucid Architecture - Styledicor." 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." Inhabitat Green Design Innovation Architecture Green Building. N.p., n.d. Web. 20 Jan. 2016. <http://inhabitat.com/trapezoid-shaped-eye-bank-building-hugs-a-slope-of-stepped-green-terraces/eye-bank-building/>.
- "Get Started." 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.