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Unit 1 – Day 4

Unit 1 – Day 4. Dilations. Warm Up #2 (1.28.2014). Individually, rewrite your definitions WITHOUT using the vocabulary term. Then sketch a picture of 2-4 . Isometry Translation Reflection Rotation e.g. Rotation is not “rotating an object”. Essential Question 1.28.2014.

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Unit 1 – Day 4

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  1. Unit 1 – Day 4 Dilations

  2. Warm Up #2 (1.28.2014) Individually, rewrite your definitions WITHOUT using the vocabulary term. Then sketch a picture of 2-4. • Isometry • Translation • Reflection • Rotation e.g. Rotation is not “rotating an object”

  3. Essential Question1.28.2014 How can coordinates be used to rescale or resize a shape?

  4. Dilation • Definition: A Dilation is a transformation that resizes a figure. • It can get bigger or smallerbut is still the same shape. • Does a dilation have the property of isometry? • NO!!! Dilations create similar figures, not congruent figures!

  5. All Dilations have a scale factor Definition: A Scale Factoris how much a figure changes in size

  6. http://www.mathopenref.com/dilate.html

  7. How do you go from A to A’ Does that work for • B to B’? • C to C’?

  8. General Rule for Dilation Dilation by scale factor c (x, y)  (cx, cy) or (x, y)c(x, y)

  9. If given a preimage and an image how do you find the scale factor? A’ or A need to be either the x’s or the y’s of one coordinate, Unless the values are zero.

  10. Ex. Find the scale factor The preimage of Triangle ABC has coordinates A(24, 4), B(4, 6), and C(12, 8). The image of Triangle A’B’C’ has coordinates A’(6, 1), B’(1, 1.5), and C’(3, 2). a) What is scale factor? b) Write a rule to describe this transformation.

  11. Assessment • 3-2-1: Write down 3 things you learned today, 2 things you have a question about, and 1 thing you found interesting • Homework: Worksheet

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