Changing Scales in Scale Drawings

Warmup

Activity #1

Change the Scale Drawing of a Swimming Pool.

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

  • Use the tools in the applet below to interact with the diagram, and then answer the questions that follow.

(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.

Activity #2

Find Corresponding Parts of Scaled Copies.

Triangle  is a scaled copy of triangle . See diagram below.

  • For each of the following parts of triangle , identify the corresponding part of triangle .

(1.) angle  = ?

(2.) angle = ?

(3.) segment = ?

(4.) segment = ?

Activity #3

More Practice on Scaled & Actual Copies.

  • Interact with the applet below and answer the questions that follow.

Challenge #1

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. 

Challenge #2

Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3.

Challenge #3

If a student uses a ruler like this to measure the length of their foot, which choices would be appropriate measurements? Select all that apply. Explain your reasoning.

Quiz Time