Scale Drawings

New York State Common Core Math Geometry, Module 2, Lesson 1

Worksheets for Geometry

Student Outcomes

• Students review properties of scale drawings and are able to create them.

Scale Drawings

Classwork

Opening Exercises

Above is a picture of a bicycle. Which of the images below appears to be a well-scaled image of the original? Why?

Example 1

Use construction tools to create a scale drawing of △ 𝐴𝐵𝐶 with a scale factor of 𝑟 = 2.

Exercise 1

1. Use construction tools to create a scale drawing of △ 𝐷𝐸𝐹 with a scale factor of 𝑟 = 3. What properties does your scale drawing share with the original figure? Explain how you know.

Example 2

Use construction tools to create a scale drawing of △ 𝑋𝑌𝑍 with a scale factor of 𝑟 = 1/2

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Exercises 2–4

2. Use construction tools to create a scale drawing of △ 𝑃𝑄𝑅 with a scale factor of 𝑟 = 1/4. What properties do the scale drawing and the original figure share? Explain how you know.
3. Triangle 𝐸𝐹𝐺 is provided below, and one angle of scale drawing △ 𝐸′𝐹′𝐺′ is also provided. Use construction tools to complete the scale drawing so that the scale factor is 𝑟 = 3. What properties do the scale drawing and the original figure share? Explain how you know.
4. Triangle 𝐴𝐵𝐶 is provided below, and one side of scale drawing △ 𝐴′𝐵′𝐶′ is also provided. Use construction tools to complete the scale drawing and determine the scale factor.

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