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Geometry 10-3 Areas of Regular Polygons

| 24 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: You want to build a koi pond. For the border, you plan to use 3-ft-long pieces of wood. You have 12 pieces that you can connect together at any angle, including a straight angle. If you wat to maximize the area of the pond, in what shape should you arrange the pieces? Sketch a model of your design on the canvas.

2

10 pts

Solve It! Explain the resoning for your koi pond design from the previous item.

3

10 pts

Vocabulary: Define apothem in your own words.

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4

10 pts

Problem 1 Got It?

A

B

C

D

5

10 pts

Problem 2 Got It? What is the area of a regular pentagon with an 8-cm apothem and 11.6-cm sides?

92 cm²

3.6 cm²

232 cm²

186 cm²

6

10 pts

Problem 2 Got It? Reasoning: If the side of a regular polygon is reduced to half its length, how does the perimeter of the polygon change? Explain.

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7

10 pts

Problem 3 Got It?

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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10

10 pts

A

B

C

D

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11

10 pts

A

B

C

D

13

10 pts

Vocabulary: What is the relationship between the side length and the apothem in a square?

14

10 pts

Vocabulary: What is the relationship between the side length and the apothem in a regular hexagon?

15

10 pts

Vocabulary: What is the relationship between the side length and the apothem in an equilateral triangle?

16

10 pts

Error Analysis: Your friend says you can use special right triangles to find the apothem of any regular polygon. What is your friend's error? Explain.

17

10 pts

Review Lesson 10-2: What is the area of a kite with diagonals 8 m and 11.5 m?

Enter your response in this format: 23 square meters

18

10 pts

Vocabulary Review: Classify each statement as true or false.

- TrueAnswer by dragging items here
- FalseAnswer by dragging items here

19

10 pts

Vocabulary Review: Which figure is NOT a regular polygon?

20

10 pts

Use Your Vocabulary: Complete the sentence with the correct word from the list.

- In a regular polygon, the apothem is the perpendicular distance from the center to a(n) __?__.Answer by dragging items here

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21

10 pts

Respond with one word.

22

10 pts

Respond with one word.

23

10 pts

Respond with one word.

24

10 pts

Reflection: Math Success

Add to my formatives list