Lesson 3

Making Scaled Copies

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Problem 1

Here are 3 polygons.

Three polygons labeled A, B, and C.

Draw a scaled copy of Polygon A using a scale factor of 2.

Draw a scaled copy of Polygon B using a scale factor of \(\frac{1}{2}\).

Draw a scaled copy of Polygon C using a scale factor of \(\frac{3}{2}\).

Solution

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Problem 2

Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2. What is the perimeter of Quadrilateral B?

Solution

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Problem 3

Here is a polygon on a grid.

An L shaped figure on a square grid.

Draw a scaled copy of this polygon that has a perimeter of 30 units. What is the scale factor? Explain how you know.

Solution

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Problem 4

Priya and Tyler are discussing the figures shown below. Priya thinks that B, C, and D are scaled copies of A. Tyler says B and D are scaled copies of A. Do you agree with Priya, or do you agree with Tyler? Explain your reasoning.

Four shapes that look like plus signs labeled A,B,C,D on a grid.

Solution

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(From Unit 1, Lesson 1.)