

7.1A: Polygon Angle Theorems
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Dale Schenewerk
Used 1+ times
FREE Resource
12 Slides • 15 Questions
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4/4/2024
Target 7.1A: Polygon Angle Theorems
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1) You need to get out your notes from yesterday. If you were gone yesterday or have lost your notes, they are available in the back of the room where you normally pick up the day's notes.
2) Today's lesson will go through:
Finishing yesterday's notes, Setting you up for success on the homework, and go through problems that are on the Practice Test that you will not get.
3) You are expected to write notes down on your notes sheet and complete the homework problems.
4) You will need a calculator. Because several of mine are missing, remember you can ask to borrow a calculator from another teacher or for today you may use your Chromebook for a calculator. You may NOT use your phone!
5) Lastly, remember the Quiz is tomorrow. You will need to actively engage in the lesson to be successful.
6) If you do not finish this during class, you need to finish it before class on Friday.
GOOD LUCK! Hope you enjoy!
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Multiple Select
Let's start with a review question: Which of the following are polygons?
Choose all that apply.
(Recall that polygons are closed 2-dimensional shapes that are made of three or more straight segments that only intersect exactly two other segments)
4
Multiple Choice
More Review:
How many sides does a pentagon have?
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4
5
6
5
Multiple Choice
Even More Review:
How many sides does an octagon have?
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9
10
11
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Multiple Choice
I'm a math teacher... Of course I'm going to give you more review!
How many sides does a decagon have?
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10
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Equilateral- Any Polygon whose sides are all congruent
Equiangular- Any polygon whose angles are all congruent
Regular- Any polygon that is both equilateral AND equiangular
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Polygon Interior Angles Theorem:
This is the formula you use when you want to find the sum of the interior angles of any polygon.
Think back to yesterday when we found the number of triangles in a polygon and multiplied that by 180 degrees (since each triangle has 180 degrees).
What We Learned Yesterday
Look at how they do this problem. The next one will be on your own!
Textbook Example
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Fill in the Blanks
Practice Test Question:
Hint (write this down on a scrap piece of paper)
Classify the polygon shown by its number of sides.
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Math Response
Practice Test Question
Again, I'd write this down!
Find the sum of the interior angle measures of the polygon shown below.
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Mr. Schenewerk
You will only get today's homework if you ask for it!
12
Math Response
On your 7.1 Homework, let's look at #2A.
Find the measure of each of the following for a regular convex nonagon.
A) Sum of the interior angles.
13

Geometry 7.1 Practice Quiz #3 question | Loom
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Math Response
Now, let's go back to your homework assignment.
Let's look at #4.
Your answer will have a decimal point. Don't round.
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7.1A: One Internal Angle | Loom
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16
Math Response
Notes: Middle Example
Write this down in your notes!
Find the measure of one interior angle of the regular polygon shown.
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Math Response
Back to the Practice Test:
Find the measure of one interior angle of the polygon shown.
Your answer will be a decimal.
Round to 2 decimal points.
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Loom Message - 3 April 2024 | Loom
You can open this webpage in a new tab.
19
Math Response
Now try #3 B in your homework:
Find the measure of one interior angle.
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Notice that the exterior angles of any polygon adds up to 360 degrees.
This is why as we increase the number of sides of a regular polygon it increasingly looks like a circle.
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7.1 Practice Quiz #1D | Loom
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Math Response
Now try #2C on your homework.
Find the measure of one exterior angle of a regular convex nonagon.
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Math Response
Now try #3C on the homework.
Find the measure of one exterior angle of the regular polygon shown.
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25

Final Example of 7.1A Notes | Loom
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Math Response
Finally, look at #5 on your Homework.
Find the value of x.
27
Math Response
Now let's look at a Practice Test Question.
Find the value of x.
4/4/2024
Target 7.1A: Polygon Angle Theorems
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