Section 3.5 – P lyg n Angle-Sum Theorems. Created by Leon Tyler Funchess. The Introduction. Okay, so I had an introduction on the wikipage . But now this is the real deal.
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Created by Leon Tyler Funchess
Okay, so I had an introduction on the wikipage. But now this is the real deal.
Hello, how are you? I see you’ve come to my page to visit the magical wonders of polygon angle-sums. They may seem intimidating at first, but I’m here to blast that intimidation out of the way. Welp, here we go!!!!!
This sir, is a polygon. Six sides, no openings or closings. Perfecto.
name of polygon, named by the number of the sides.
(I have no idear where I found this! ;D)
either convex or concave.
THEY’RE BOTH POLYGONS THOUGH, SO DON’T WORRY
Some diagonals of the polygon have points on the outside, that’s not okay!
All diagonals of the polygon have points on the inside of the polygon.
I know you’re probably saying, “ugh, ANOTHER THEOREM?!” but don’t be afraid, this is one of the few that has actual MATH incorporated into it. But he is the mighty polygon angle-sum theorem. I’ll explain it in detail.
------ » Okay, so the first 12 words of this theorem is basically self-explanatory, if that’s the word.. But the last part might confuse you. (n-2)180 is actually saying the quantity of the number of sides minus two times 180°. So for example, lets say you want to find out the angle sum of a pentagon. By referring to the chart on slide 4, you will find out that a pentagon has 5 sides. So the substitute for n in the equation is 5, and all you do from there is plug + chug!!! (5-2)180 = 3(180) = 540°. Boomshakalaka. You have the angle sum of a pentagon, easy as Parcheesi.
Evaluation for adding.
Evaluation for knowing what a polygon is.
Evaluation for naming a polygon.
I think you guys are capable enough to be able to do this w/o any evaluation…
Evaluation on theorem 3-14
Evaluation on theorem 3-15
What is the exterior angle sum for all these polygons?
Okay, here’s the first part….
No. it crosses.
Lol you can’t add letters and numbers together!!
Arrow behind heart: yes
360° for all of ‘em.
We learned a lot today. Two theorems. How to classify a polygon. How to name a polygon.
Hopefully my unique teaching style will help this stick to your mind? (between me and you, It won’t stick in mines! Lol) And hopefully this study guide will help your preparations for the midterms!!!!!!
GOOD LUCK EVERYONE!!!!!!!!!!
And thank you to everyone who read my study guide, it helps me stay up for business! :P and if I happened to forget something you felt was important in this section, please comment! Suggestions and all that other good stuff is also good too. Thanks again!