Scale Drawings


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Common Core For Geometry




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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 β–³ 𝐴𝐡𝐢 with a scale factor of π‘Ÿ = 2.

Exercise 1

  1. Use construction tools to create a scale drawing of β–³ 𝐷𝐸𝐹 with a scale factor of π‘Ÿ = 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 β–³ π‘‹π‘Œπ‘ with a scale factor of π‘Ÿ = 1/2

Exercises 2–4

  1. Use construction tools to create a scale drawing of β–³ 𝑃𝑄𝑅 with a scale factor of π‘Ÿ = 1/4. What properties do the scale drawing and the original figure share? Explain how you know.
  2. Triangle 𝐸𝐹𝐺 is provided below, and one angle of scale drawing β–³ 𝐸′𝐹′𝐺′ is also provided. Use construction tools to complete the scale drawing so that the scale factor is π‘Ÿ = 3. What properties do the scale drawing and the original figure share? Explain how you know.
  3. Triangle 𝐴𝐡𝐢 is provided below, and one side of scale drawing β–³ 𝐴′𝐡′𝐢′ is also provided. Use construction tools to complete the scale drawing and determine the scale factor.



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