Lesson 6

Here is a scale drawing of a swimming pool where 1 cm represents 1 m.

1. How long and how wide is the actual swimming pool? 
2. Will a scale drawing where 1 cm represents 2 m be larger or smaller than this drawing?

3. Make a scale drawing of the swimming pool where 1 cm represents 2 m.

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. 

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.

If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3, what is the perimeter of Q?

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 \(BA\)