TRANSLATIONSSWBAT:• Identify Isometries• To Find Translation Images of Figures

What is a Transformation?

•A transformation of a geometric figure is a change in its position, shape or size.

Transformation Vocabulary

•Preimage - The original figure

• Image - The resulting figure or new figure

• Isometry - A transformation in which the preimage and and image are congruent. (No Stretching or Shrinking!)

Ex 1: Identify Isometries• Do the transformations appear to be Isometries? Explain...

You Try:• State whether the transformations appear to be an isometry.

Explain.

Notation• A transformation maps a figure onto its image and may be

described with arrow () notation.• Prime (‘) notation is sometimes used to identify image points.• In the diagram, K’ is the image of K • Read (K K’) as “K maps to K prime”

Ex 2: Naming Corresponding Parts

You Try:

You Try:

Review• Solve for x!

Factor!

Graph!

TRANSLATIONS PACKET Follow along in your packet from the video and check your work!

Key Concept: Translation

A translation (or Slide) is an transformation that maps all points of a figure the same distance in the same directions.

Translation Notation• For a translation that will slide right 4 spaces and down 2

spaces

Algebraic Rule

(x,y) -> (x+4, y-2)

Shorthand

T4,-2

Vector Notation

You Try• For a translation that will slide right 2 spaces and up 5 spaces

Algebraic Rule

(x,y) -> (x+2, y+5)

Shorthand

T2,5

Vector Notation

You Try Another• For a translation that will slide left 10 spaces

Algebraic Rule

(x,y) -> (x-10, y)

Shorthand

T-10,0

Vector Notation

Practice 8.1

Lets look at the Rule…

What’s going on with the x?

Slide to the left 4

What’s going on with the y?

Slide up 3

Examine the Rule…

x does not changethen

Slide down 2

Think…

•Would a Translation of a figure be an isometry?

•Does the figure stretch or Shrink?•Does the figure stay congruent?

Find the Coordinates!

• Find the coordinates of the vertices after the translation.

Find the Coordinates!

• Find the coordinates of the vertices after the translation.

Think…

What would the coordinates of ABC be if:

Write the translation rule…