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TRANSLATIONS SWBAT: Identify Isometries To Find Translation Images of Figures
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What is a Transformation? A transformation of a geometric figure is a change in its position, shape or size.
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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!)
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Ex 1: Identify Isometries Do the transformations appear to be Isometries? Explain...
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You Try: State whether the transformations appear to be an isometry. Explain.
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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”
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Ex 2: Naming Corresponding Parts
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You Try:
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Review Solve for x!
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Factor!
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Graph!
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TRANSLATIONS PACKET Follow along in your packet from the video and check your work!
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Key Concept: Translation A translation (or Slide) is an transformation that maps all points of a figure the same distance in the same directions.
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Translation Notation
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You Try
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You Try Another
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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
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Examine the Rule… x does not change then Slide down 2
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Think… Would a Translation of a figure be an isometry? Does the figure stretch or Shrink? Does the figure stay congruent?
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Find the Coordinates! Find the coordinates of the vertices after the translation.
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Find the Coordinates! Find the coordinates of the vertices after the translation.
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Think… What would the coordinates of ABC be if:
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Write the translation rule…
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