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Dilations!

Dilations!. Learning Goal 1 (8.G.A.3 & 4): The student will understand and use informal arguments to prove congruency and similarity using physical models, transparencies or geometry software. What is a dilation?. Play video. What is a dilation (in math)?.

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Dilations!

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  1. Dilations!

  2. Learning Goal 1 (8.G.A.3 & 4): The student will understand and use informal arguments to prove congruency and similarity using physical models, transparencies or geometry software.

  3. What is a dilation? • Play video

  4. What is a dilation (in math)? • A type of transformation that changes size of the image. • The image is similar (same shape but different size). • Scale Factor: measures how much larger or smaller the image is.

  5. Scale Factors • A scale factor greater than 1 causes stretching. • A scale factor less than 1 causes shrinking. • Both are dilations.

  6. How to Graph Dilations • Graph the given points. • Multiply each coordinate by the given scale factor. • List the new ordered pairs. • Plot the new points.

  7. Labsheet 4.1 • Dilation with scale factor of 3. • Multiply each “x” by 3 and each “y” by 3. • Graph the new ordered pairs. S’ P’ Q’ R’ (4, 4) (2, 2) (5, 2) (15, 6) (12, 12) (6, 12) (6, 6)

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