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Happy Tuesday!

Happy Tuesday!. Take out your whiteboard and whiteboard marker. Take out homework Start working on your Do Now- Exploration Tonight’s Homework P 498 # 1 -5, 8, 17, 18. Whiteboard. Write/ draw everything that you know about dilations. Exploration.

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Happy Tuesday!

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  1. Happy Tuesday! • Take out your whiteboard and whiteboard marker. • Take out homework • Start working on your Do Now- Exploration Tonight’s Homework • P 498 #1-5, 8, 17, 18

  2. Whiteboard • Write/ draw everything that you know about dilations

  3. Exploration For step 4, one person finds the length of each side for triangle ABC, another partner does it for A’B’C’, another for A’’B’’C’’. Recall: What is the distance formula?

  4. 7.6: Dilations and Similarity in the Coordinate Plane Learning Goal: IWBAT: 1) Apply similarity properties in the coordinate plane.

  5. Vocabulary DILATION • Transformation that changes the size of a figure, but not its shape.

  6. Scale Factor • describes how much the figure is enlarged or reduced. • Written in the form: (x, y)  (kx, ky) • scale factor greater than 1 (k>1 ) is an enlargement , or expansion. • scale factor greater than 0 but less than 1 ( k < 1) is a reduction, or contraction.

  7. Draw the border of the photo after a dilation with scale factor Example 1: Computer Graphics Application

  8. Example 2: Finding Coordinates of Similar Triangle Given that ∆TUO ~ ∆RSO, find the coordinates of U and the scale factor. Since ∆TUO ~ ∆RSO, OU = 12 Divide both sides by 12.

  9. Graphing Whiteboards Given that ∆MON ~ ∆POQ and coordinates P (–15, 0), M(–10, 0), and Q(0, –30), find the coordinates of N and the scale factor.

  10. Take out a graph piece of paper Steps for Coordinate Proof • Plot the points • Use the distance formula to find the side lengths • Find the similarity ratio

  11. Example 3: Proving Triangles Are Similar Given: E(–2, –6), F(–3, –2), G(2, –2), H(–4, 2), and J(6, 2). Prove: ∆EHJ ~ ∆EFG. Step 1 Plot the points and draw the triangles.

  12. Example 3 Continued Step 2 Use the Distance Formula to find the side lengths.

  13. Step 3 Find the similarity ratio.

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