1. Translations
Lesson #4 Pg. 39

2. True or False.
___ 1. The coordinates of each transformation are calculated the same way.
___ 2. All transformations preserve size and shape.
___ 3. Transformations can be performed on a coordinate plane.
___ 4. Reflections, translations, rotations, and dilations are all transformations.

3. Key Vocabulary Transformations Pre-image Image Translation Congruent
An operation that moves a geometric figure, pre-image, onto a new figure, image.
Pre-image
The original figure before a transformation.
Image
The resulting figure after a transformation.
Translation
A transformation that slides or shifts a figure from one position to another without turning
Congruent
Having the same size and shape of an object
Isometry
Transformation that preserves size, and shape of the pre-image

4. Activating Strategy Look at the picture.
Decide what type of transformation is depicted in the picture.

5. Prime Symbols
Use prime symbols for the vertices in a transformed image. A` is read A prime B` C` A B C A`

6. Translations * Preserve Size, Shape and Orientation

7. Background Information
Translations are a slide or shift from the original position
Translations can happen in any direction
Translations preserve size, shape, and orientation of the pre-image
Translations can be written in words or in coordinate form

8. Translations in the Coordinate Plane
Translations use “x” values for horizontal movement and “y” values for vertical movement. Just like the “x” and “y” axis on the coordinate plane.
The formula for Translation is…
Where “±a” is the horizontal (right or left) movement
and
Where “±b” is the vertical (up or down) movement

9. Example
Graph with vertices J(-3, 4), K(1, 3), and L(-4, 1). Then graph the image of after a translation 2 units right and 5 units down.
Write the coordinates of its vertices.

10. Example
Triangle XYZ has vertices X(-1, -2), Y(6, -3) and Z(2, -5). Find the vertices of after a translation of 2 units left and 1 unit up.
So the vertices of
Vertices of

11. Example
Use translation notation to describe the translation from point “A” to point “B” Point “A” is located at (3, 3), point “B” is located at (2, 1)

12. Homework
CC: pg (1-7, 9, 11)