Glencoe Math: Course 3, Volume 2
GM
Glencoe Math: Course 3, Volume 2 View details
1. Translations
Continue to next subchapter

Exercise 8 Page 458

Each step is represented by a translation on the diagram.

See solution.

Practice makes perfect

We are asked to refer to the graphic novel frame and list the five steps the girls should take, as well as identify any transformations used in the dance steps. Let's take a look at the diagram of the dance steps that we can see in the graphic novel.

Let's consider the first step.
As we can see, the first of the five steps the girls should take is putting the right foot left of the left foot. Note that on the diagram, this corresponds to translating the image corresponding to the right foot left 2 units. Let's focus on the next step.
This time, the girls should move the left foot to the left of the right foot. On the diagram, this corresponds to translating the image representing the left foot to the left 2 units.
The third step the girls should take is moving the right foot forwards. On the diagram, this is represented by translating the image corresponding to the right foot up 1 unit.
The fourth step is bringing the left foot forward. This corresponds to translating the image representing the left foot up 1 unit on the diagram. Finally, let's look at the last step.
The last step the girls should take is moving both feet to the right. On the diagram, this is represented by translating the images representing each foot right 3 units. Finally, we can list the five steps the girls should take.
  1. Moving the right foot left
  2. Moving the left foot left
  3. Moving the right foot forwards
  4. Moving the left foot forwards
  5. Moving both feet right

Similarly, let's list the transformations used in the dance steps.

  1. Translating the image representing the right foot 2 units left
  2. Translating the image representing the left foot 2 units left
  3. Translating the image corresponding to the right foot 1 unit up
  4. Translating the image corresponding to the left foot 1 unit up
  5. Translating the images representing both feet 3 units right