Lesson 6
Changing Scales in Scale Drawings
Let’s explore different scale drawings of the same actual thing.
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.
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.
Problem 3
On a map with a scale of 1 inch to 12 feet, the area of a restaurant is 60 in^{2}. Han says that the actual area of the restaurant is 720 ft^{2}. Do you agree or disagree? Explain your reasoning.
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?
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 \(BA\)