Lesson 5

Creating Scale Drawings

Let’s create our own scale drawings.

Problem 1

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide.

  1. What scale is being used for the image?
  2. How tall is the actual book?

Problem 2

The flag of Colombia is a rectangle that is 6 ft long with three horizontal strips.

A rectangular figure that represents a flag. 
  • The top stripe is 2 ft tall and is yellow.
  • The middle stripe is 1 ft tall and is blue.
  • The bottom stripe is also 1 ft tall and is red.

  1. Create a scale drawing of the Colombian flag with a scale of 1 cm to 2 ft.

  2. Create a scale drawing of the Colombian flag with a scale of 2 cm to 1 ft.

Problem 3

Here is an unlabeled rectangle, followed by other quadrilaterals that are labeled. 

A rectangle. 8 other quadrilaterals labeled A,B,C,D,E,F,G,H.
  1. Select all quadrilaterals that are scaled copies of the unlabeled rectangle. Explain how you know.
  2. On graph paper, draw a different scaled version of the original rectangle.
(From Unit 2, Lesson 2.)

Problem 4

For each pair of polygons, describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.

  1. two of the same figure on an isometric grid in different orientations and position
  2. two of the same figure on an isometric grid in different orientations and position
  3. two of the same figure in different orientations and position.
(From Unit 1, Lesson 3.)