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IM Geometry Unit 3 Lesson 12

These are the plans for a vegetable garden that a school is designing. Scale: 1 unit = 2.8 ft
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Write at least 3 equivalent ratios or equations using lengths from both the diagram and the full-size garden.

For this pair of similar figures (A & C) determine the following: 1. a similarity statement 2. the scale factor between the similar figures 3. the missing lengths

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For this pair of similar figures (B & F) determine the following: 1. a similarity statement 2. the scale factor between the similar figures 3. the missing lengths

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For this pair of similar figures (D & E) determine the following: 1. a similarity statement 2. the scale factor between the similar figures 3. the missing lengths

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Here is a quilt design made of right isosceles triangles. The smallest squares in the center have an area of 1 square unit. Find the dimensions of the triangles.

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  1. Are the triangles similar?
  1. If so, what are the scale factors?

  1. This quilt is meant for a baby (1 unit = 6 inches).
  1. To make a quilt for a queen-size bed, it needs to be 90 inches wide.
  1. What dimensions should the center squares of the big quilt have to reach that width?

IM G Unit 3 Lesson 12 from IM Geometry by Illustrative Mathematics, https://im.kendallhunt.com/HS/students/2/3/12/index.html. Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/.