Unit 5: Motion Geometry

Lesson 1: Translating Shapes

What Does It Mean To “Translate” A Shape???

• The shape moves without rotating or resizing

• Every point on the shape moves the same distance and direction

• Its orientation (the way it’s positioned) does not change

• Translations can be made horizontally (left or right),

vertically (up or down) and diagonally (across)

How To Translate Shapes

• Learn the translation rule

- A rule to let you know how far you need to translate your object

- U = Up

- D = Down

- L = Left

- R = Right

Look at the Following Shape

• Translate this shape using the following rules:

- 3R, 4D

- 4L, 6D

- 3L, 2U

- 2R, 1U

Looking Back At Terms• Co-ordinate Plane - What you plot your points on• Ordered Pairs - X and Y component to show location of a point• Origin - Where X and Y axis intersect• X-Co-ordinate - First # of ordered pair• Y-Co-ordinate - Second # of ordered pair• X-Axis - Axis that run horizontally (left to right)• Y-Axis - Axis that run vertically (up and down)• Vertex (Vertices) - “Corners” of a shape – They will be labelled with a letter

Look at the Following Shape

• Call the bottom left Vertex “A”

• Call the bottom right Vertex “B”

• Call the top Vertex “C”• What are the co-

ordinates of each Vertex?

Reminders

• The 2-D shape (the triangle on the page) and its translated image are congruent = exact same shape and size

• Orientation (relative position) will be the same for the original and translated shape

• The vertices of the new image will be labelled as A’, B’, C’ etc.

Example

Cont. Translations• If translation is…• To the left - X-co-ordinate will decrease - ex: (3,4) to (2,4)• To the right - X-co-ordinate will increase - ex: (3,4) to (4,4)• Downward - Y-co-ordinate will decrease - ex: (3,4) to (3,3)• Upward - Y-co-ordinate will increase - ex: (3,4) to (3,5)

Example

The co-ordinates of the purple box are (1,14), (5,14), (1,11) and (5,11)The co-ordinated of the pink box are (1,4), (5,4), (1,1) and (5,1)• How far is the pink one relative to the purple one?

In Your Math Journal

• Explain how knowing the translation rule will help you identify positional changes of the vertices

Questions!!!

• Do together:

- Page 148-149: A-E

• Page 149-150: 1-7