Geometry 10-4 Complete Lesson: Perimeters of Areas of Similar Figures

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Solve It! Complete the tables on the canvas using the text tool.

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Solve It! How do the ratios of the perimeters and the ratios of the areas compare with the scale factors?

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 2 Got It?

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Problem 3 Got It? The scale factor of the dimensions of two small pieces of window glass is 3 : 5. The smaller piece costs $2.50. How much should the larger piece cost?

Enter your answer in this format: $2.71

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Problem 3 Got It? Reasoning: In Problem 3, why is it important that each dimension is 2.5 times the corresponding dimension of the original plot? Explain.

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Problem 4 Got It?

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Reasoning: The area of one rectangle is twice the area of a similar rectangle. What is the ratio of their perimeters? How do you know?

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Error Analysis: Your friend says that since the ratio of the perimeters of two polygons is ½, the area of the smaller polygon must be one half the area of the larger polygon. What is wrong with this statement? Explain.

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Compare and Contrast: How is the relationship between the areas of two congruent figures different from the relationship between the areas of two similar figures?

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Review Lesson 10-3: Match each regular polygon with its area.

480 square units
690 square units
484 square units

a square with apothem 11
a regular pentagon with apothem 13.8 and side length 20
an octagon with apothem 12 and side length 10

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Review Lesson 10-3: Fill in the blank. Enter only a number. The area of the regular polygon is ? square inches.

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Vocabulary Review: Categorize each statement based on whether it is always, sometimes, or never true.

Corresponding angles of similar figures are congruent.
Corresponding sides of similar figures are proportional.

Always
Sometimes
Never

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Vocabulary Review: Identify the pairs of similar figures. Select all that apply.

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Use Your Vocabulary: Complete each sentence with are or are not.

are
are not

The radii of a regular polygon __?__ congruent.
The triangles formed by the radii and sides of regular pentagon ABCD __?__ congruent.

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Geometry 10-4 Complete Lesson: Perimeters of Areas of Similar Figures

Solve It! Complete the tables on the canvas using the text tool.

Solve It! How do the ratios of the perimeters and the ratios of the areas compare with the scale factors?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? The scale factor of the dimensions of two small pieces of window glass is 3 : 5. The smaller piece costs $2.50. How much should the larger piece cost?

Enter your answer in this format: $2.71

Problem 3 Got It? Reasoning: In Problem 3, why is it important that each dimension is 2.5 times the corresponding dimension of the original plot? Explain.

Problem 4 Got It?

Reasoning: The area of one rectangle is twice the area of a similar rectangle. What is the ratio of their perimeters? How do you know?

Error Analysis: Your friend says that since the ratio of the perimeters of two polygons is ½, the area of the smaller polygon must be one half the area of the larger polygon. What is wrong with this statement? Explain.

Compare and Contrast: How is the relationship between the areas of two congruent figures different from the relationship between the areas of two similar figures?

Review Lesson 10-3: Match each regular polygon with its area.

Review Lesson 10-3: Fill in the blank. Enter only a number. The area of the regular polygon is ? square inches.

Vocabulary Review: Categorize each statement based on whether it is always, sometimes, or never true.

Vocabulary Review: Identify the pairs of similar figures. Select all that apply.

Use Your Vocabulary: Complete each sentence with are or are not.

Reflection: Math Success

Solve It! Complete the tables on the canvas using the text tool.

Solve It! How do the ratios of the perimeters and the ratios of the areas compare with the scale factors?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? The scale factor of the dimensions of two small pieces of window glass is 3 : 5. The smaller piece costs $2.50. How much should the larger piece cost?

Enter your answer in this format: $2.71

Problem 3 Got It? Reasoning: In Problem 3, why is it important that each dimension is 2.5 times the corresponding dimension of the original plot? Explain.

Problem 4 Got It?

Reasoning: The area of one rectangle is twice the area of a similar rectangle. What is the ratio of their perimeters? How do you know?

Error Analysis: Your friend says that since the ratio of the perimeters of two polygons is ½, the area of the smaller polygon must be one half the area of the larger polygon. What is wrong with this statement? Explain.

Compare and Contrast: How is the relationship between the areas of two congruent figures different from the relationship between the areas of two similar figures?

Review Lesson 10-3: Match each regular polygon with its area.

Review Lesson 10-3: Fill in the blank. Enter only a number. The area of the regular polygon is ? square inches.

Vocabulary Review: Categorize each statement based on whether it is always, sometimes, or never true.

Vocabulary Review: Identify the pairs of similar figures. Select all that apply.

Use Your Vocabulary: Complete each sentence with are or are not.

Reflection: Math Success

Use Your Vocabulary: Which segment is NOT a radius of regular pentagon ABCDE?

Geometry 10-4 Complete Lesson: Perimeters of Areas of Similar Figures

Geometry 10-4 Complete Lesson: Perimeters of Areas of Similar Figures

Solve It! Complete the tables on the canvas using the text tool.

Solve It! How do the ratios of the perimeters and the ratios of the areas compare with the scale factors?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? The scale factor of the dimensions of two small pieces of window glass is 3 : 5. The smaller piece costs $2.50. How much should the larger piece cost? Enter your answer in this format: $2.71

Problem 3 Got It? Reasoning: In Problem 3, why is it important that each dimension is 2.5 times the corresponding dimension of the original plot? Explain.

Problem 4 Got It?

Reasoning: The area of one rectangle is twice the area of a similar rectangle. What is the ratio of their perimeters? How do you know?

Error Analysis: Your friend says that since the ratio of the perimeters of two polygons is ½, the area of the smaller polygon must be one half the area of the larger polygon. What is wrong with this statement? Explain.

Compare and Contrast: How is the relationship between the areas of two congruent figures different from the relationship between the areas of two similar figures?

Review Lesson 10-3: Match each regular polygon with its area.

Review Lesson 10-3: Fill in the blank. Enter only a number. The area of the regular polygon is __?__ square inches.

Vocabulary Review: Categorize each statement based on whether it is always, sometimes, or never true.

Vocabulary Review: Identify the pairs of similar figures. Select all that apply.

Use Your Vocabulary: Complete each sentence with are or are not.

Reflection: Math Success

Solve It! Complete the tables on the canvas using the text tool.

Solve It! How do the ratios of the perimeters and the ratios of the areas compare with the scale factors?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? The scale factor of the dimensions of two small pieces of window glass is 3 : 5. The smaller piece costs $2.50. How much should the larger piece cost? Enter your answer in this format: $2.71

Problem 3 Got It? Reasoning: In Problem 3, why is it important that each dimension is 2.5 times the corresponding dimension of the original plot? Explain.

Problem 4 Got It?

Reasoning: The area of one rectangle is twice the area of a similar rectangle. What is the ratio of their perimeters? How do you know?

Error Analysis: Your friend says that since the ratio of the perimeters of two polygons is ½, the area of the smaller polygon must be one half the area of the larger polygon. What is wrong with this statement? Explain.

Compare and Contrast: How is the relationship between the areas of two congruent figures different from the relationship between the areas of two similar figures?

Review Lesson 10-3: Match each regular polygon with its area.

Review Lesson 10-3: Fill in the blank. Enter only a number. The area of the regular polygon is __?__ square inches.

Vocabulary Review: Categorize each statement based on whether it is always, sometimes, or never true.

Vocabulary Review: Identify the pairs of similar figures. Select all that apply.

Use Your Vocabulary: Complete each sentence with are or are not.

Reflection: Math Success

Use Your Vocabulary: Which segment is NOT a radius of regular pentagon ABCDE?

Problem 3 Got It? The scale factor of the dimensions of two small pieces of window glass is 3 : 5. The smaller piece costs $2.50. How much should the larger piece cost?

Enter your answer in this format: $2.71

Review Lesson 10-3: Fill in the blank. Enter only a number. The area of the regular polygon is ? square inches.

Problem 3 Got It? The scale factor of the dimensions of two small pieces of window glass is 3 : 5. The smaller piece costs $2.50. How much should the larger piece cost?

Enter your answer in this format: $2.71

Review Lesson 10-3: Fill in the blank. Enter only a number. The area of the regular polygon is ? square inches.