TRANSLATIONS SWBAT: Identify Isometries To Find Translation Images of Figures.

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Presentation transcript:

TRANSLATIONS SWBAT: 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:

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

You Try

You Try Another

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 change then 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…