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!!!!!
For readers, press the next arrow button four times before reading for maximum effectiveness.Baby steps… let’s start off with some basic skills you’ll need.
This sir, is a polygon. Six sides, no openings or closings. Perfecto.
For readers: press the next arrow button three times before you read for maximum effectiveness.Next: Classifying Polygons
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.
Readers, press the next arrow button two times before reading for maximum effectiveness.Now here comes the fun part, the part where I evaluate you!!!
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…
Readers, press the next arrow button two times before reading for maximum effectiveness.Haha, that last slide was just a little joke. Back to seriousness.
Evaluation on theorem 3-14
Evaluation on theorem 3-15
What is the exterior angle sum for all these polygons?
Readers, press the next arrow button reading for maximum effectiveness. three times before reading for maximum effectiveness.Are you ready for this?I’m going to show you the answers.
Okay, here’s the first part….
No. it crosses.
Lol you can’t add letters and numbers together!!
Arrow behind heart: yes
Readers, press the next arrow button reading for maximum effectiveness. three times before reading for maximum effectiveness.Next set of answers!!
360° for all of ‘em.
Readers, press the next arrow button reading for maximum effectiveness. two times AFTER reading for maximum effectiveness.Phew! Are you glad this is over? Me and you both!
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!