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Geometry 6-1 The Polygon-Angle Sum Theorems
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by Matthew Richardson
| 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.
The outlined content above was added from outside of Formative.
The outlined content above was added from outside of Formative.
1
10 pts
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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10 pts
Problem 1 Got It?
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10 pts
Problem 1 Got It?
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10 pts
Problem 2 Got It?
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Problem 3 Got It?
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Problem 4 Got It?
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Reasoning: Which angles are the exterior angles for ∠1? Select all that apply.
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10 pts
Reasoning:What do you know about the measures of the exterior angles for ∠1?
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10 pts
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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14
5 pts
Review Lesson 5-7: You are given the following information.
Which is greater, AD or CD ?
AD
CD
15
10 pts
Review Lesson 2-5: Name the property that justifies the statement.
Associative property
Commutative property
Distributive property
Transitive property
16
10 pts
Review Lesson 2-5: Name the property that justifies the statement.
Symmetric property of congruence
Symmetric property of equality
Reflexive property of equality
Reflexive property of congruence
17
10 pts
Review Lesson 2-5: Name the property that justifies the statement.

If ∠1 ≅ ∠4, then ∠4 ≅ ∠1.

Symmetric property of congruence
Symmetric property of equality
Reflexive property of equality
Reflexive property of congruence
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Review Lessons 4-1 & 4-3: Name the postulate or theorem that justifies the congruence statement.
SAS
ASA
AAS
SSS
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10 pts
Review Lessons 4-1 & 4-3: Use the diagram above to complete each congruence statement.
  • ∠FEG ≅
    Answer by dragging items here
  • ∠EFG ≅
    Answer by dragging items here
  • ∠FGE ≅
    Answer by dragging items here
  • segment EF
    Answer by dragging items here
  • segment FG
    Answer by dragging items here
  • segment GE
    Answer by dragging items here
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10 pts
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.
interior
exterior
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10 pts
Vocabulary Review: Cross out the polygon that is NOT convex.
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10 pts
Use Your Vocabulary: Match words from the left column to complete the sentences on the right.
  • The sides of a regular polygon are __?__.
    Answer by dragging items here
  • A right triangle __?__ a regular polygon.
    Answer by dragging items here
  • An equilateral triangle __?__ always a regular polygon.
    Answer by dragging items here
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23
10 pts
Use Your Vocabulary: Classify the hexagon as equiangular, equilateral, or regular.

Enter only the most specific term with no spaces.
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10 pts
Use Your Vocabulary: Classify the hexagon as equiangular, equilateral, or regular.

Enter only the most specific term with no spaces.
25
10 pts
Use Your Vocabulary: Classify the hexagon as equiangular, equilateral, or regular.

Enter only the most specific term with no spaces.
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10 pts
triangle.
quadrilateral.
pentagon.
hexagon.
27
10 pts
triangle
quadrilateral
pentagon
hexagon
28
10 pts
Reflection: Math Success
Add to my formatives list