Geometry 6-1 Complete Lesson: The Polygon-Angle Sum Theorems
By Matt Richardson
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Last updated about 3 years ago
28 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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Question 1
1.
Solve It! Sketch a convex pentagon, hexagon, and heptagon. For each figure, draw all the diagonals you can from one vertex. What conjecture can you make about the relationship between the number of sides of a polygon and the number of triangles formed by the diagonals from one vertex?
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Question 2
2.
Problem 1 Got It?
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Question 3
3.
Problem 1 Got It?
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Question 4
4.
Problem 2 Got It?
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Question 5
5.
Problem 3 Got It?
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Question 6
6.
Problem 4 Got It?
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Question 7
7.
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Question 8
8.
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Question 9
9.
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Question 11
11.
Reasoning: Which angles are the exterior angles for ∠1? Select all that apply.
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Question 12
12.
Reasoning:What do you know about the measures of the exterior angles for ∠1?
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Question 13
13.
Error Analysis: Your friend says that she measured an interior angle of a regular polygon as 130. Explain why this result is impossible.
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Question 14
14.
Review Lesson 5-7: You are given the following information.
Which is greater, AD or CD ?
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Question 15
15.
Review Lesson 2-5: Name the property that justifies the statement.
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Question 16
16.
Review Lesson 2-5: Name the property that justifies the statement.
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Question 17
17.
Review Lesson 2-5: Name the property that justifies the statement.
If ∠1 ≅ ∠4, then ∠4 ≅ ∠1.
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Question 18
18.
Review Lessons 4-1 & 4-3: Name the postulate or theorem that justifies the congruence statement.
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Question 19
19.
Review Lessons 4-1 & 4-3: Use the diagram above to complete each congruence statement.
∠HEG
segment HE
∠GHE
segment GH
∠HGE
segment EG
∠FEG ≅
∠EFG ≅
∠FGE ≅
segment EF
segment FG
segment GE
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Question 20
20.
Vocabulary Review: Select the correct word to complete the sentence.
In a convex polygon, no point on the lines containing the sides of the polygon is in the interior/exterior of the polygon.
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Question 21
21.
Vocabulary Review: Cross out the polygon that is NOT convex.
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Question 22
22.
Use Your Vocabulary: Match words from the left column to complete the sentences on the right.
congruent
scalene
is
is not
The sides of a regular polygon are __?__.
A right triangle __?__ a regular polygon.
An equilateral triangle __?__ always a regular polygon.
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Question 23
23.
Use Your Vocabulary: Classify the hexagon as equiangular, equilateral, or regular.
Enter only the most specific term with no spaces.
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Question 24
24.
Use Your Vocabulary: Classify the hexagon as equiangular, equilateral, or regular.
Enter only the most specific term with no spaces.
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Question 25
25.
Use Your Vocabulary: Classify the hexagon as equiangular, equilateral, or regular.
