Translations

1
Translations

• Section 9-2

2

• A translation, or glide, is an isometry that
  glides all points the same distance in the same
  direction.

3

• If a transformation T maps any point (x, y) to
  (x a, y b), then T is a translation.

Each point glides 10 units right and 2 units up.
(3, -2)
(-7, -4)
4

• Another way to find a translation is to perform
  a reflection in the first of two parallel lines
  and then reflect the image in the other parallel
  line. A transformation made up of successive
  transformations is called a composition.

5

• A glide reflection combines two isometries to
  produce a new transformation. This new
  transfomation is itself an isometry.

P
P
P
6
Joke Time

• Why did the chicken go to the middle of the road?
• To lay it on the line.

7

• Why did the chicken cross the basketball court to
  talk with the ref?
• Because he was calling all fowls!