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Geometry 6-1 The Polygon-Angle Sum Theorems

| 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.

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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2

10 pts

Problem 1 Got It?

A

B

C

D

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3

10 pts

Problem 1 Got It?

A

B

C

D

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4

10 pts

Problem 2 Got It?

A

B

C

D

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5

10 pts

Problem 3 Got It?

A

B

C

D

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6

10 pts

Problem 4 Got It?

A

B

C

D

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7

10 pts

A

B

C

D

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8

10 pts

A

B

C

D

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9

10 pts

A

B

C

D

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11

10 pts

Reasoning: Which angles are the exterior angles for ∠1? Select all that apply.

1

2

3

4

12

10 pts

Reasoning:What do you know about the measures of the exterior angles for ∠1?

13

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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18

10 pts

Review Lessons 4-1 & 4-3: Name the postulate or theorem that justifies the congruence statement.

SAS

ASA

AAS

SSS

19

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 EFAnswer by dragging items here
- segment FGAnswer by dragging items here
- segment GEAnswer by dragging items here

20

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

21

10 pts

Vocabulary Review: Cross out the polygon that is NOT convex.

22

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.

24

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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26

10 pts

triangle.

quadrilateral.

pentagon.

hexagon.

27

10 pts

triangle

quadrilateral

pentagon

hexagon

28

10 pts

Reflection: Math Success

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