Lesson 6
Changing Scales in Scale Drawings
Problem 1
Here is a scale drawing of a swimming pool where 1 cm represents 1 m.
- How long and how wide is the actual swimming pool?
- Will a scale drawing where 1 cm represents 2 m be larger or smaller than this drawing?
-
Make a scale drawing of the swimming pool where 1 cm represents 2 m.
Solution
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Problem 2
A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. Which map is larger? Explain or show your reasoning.
Solution
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Problem 3
On a map with a scale of 1 inch to 12 feet, the area of a restaurant is 60 in2. Han says that the actual area of the restaurant is 720 ft2. Do you agree or disagree? Explain your reasoning.
Solution
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Problem 4
If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3, what is the perimeter of Q?
Solution
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(From Unit 2, Lesson 2.)Problem 5
Triangle \(DEF\) is a scaled copy of triangle \(ABC\). For each of the following parts of triangle \(ABC\), identify the corresponding part of triangle \(DEF\).
- angle \(ABC\)
- angle \(BCA\)
- segment \(AC\)
- segment \(BA\)
Solution
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(From Unit 2, Lesson 2.)