Geometry 10-3 Complete Lesson: Areas of Regular Polygons
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Last updated about 4 years ago
24 questions
Note from the author:
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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.
Question 1
1.
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.
Question 2
2.
Solve It! Explain the resoning for your koi pond design from the previous item.
Question 3
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Vocabulary: Define apothem in your own words.
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Question 5
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Question 6
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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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Question 13
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Vocabulary: What is the relationship between the side length and the apothem in a square?
Question 14
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Vocabulary: What is the relationship between the side length and the apothem in a regular hexagon?
Question 15
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Vocabulary: What is the relationship between the side length and the apothem in an equilateral triangle?
Question 16
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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.
Question 17
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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
Question 18
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Question 19
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Question 20
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Question 21
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Respond with one word.
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Question 24
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Reflection: Math Success
Question 4
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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
Question 7
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Question 8
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Question 9
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Question 10
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Question 11
11.
Vocabulary Review: Classify each statement as true or false.
In a regularpolygon, all sides are congruent.
In a regular polygon, all angles are congruent.
True
False
Vocabulary Review: Which figure is NOT a regular polygon?
Use Your Vocabulary: Complete the sentence with the correct word from the list.
angle
side
In a regular polygon, the apothem is the perpendicular distance from the center to a(n) __?__.
