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Dilations

Dilations. Example 1. Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin. K (3, - 1)  →  K ′( , ) L (3, 0)  →  L ′( , ) M ( - 2, 0)  →  M ′( , ) . Example 2.

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Dilations

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  1. Dilations

  2. Example 1 Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin. K(3, -1)  → K′( , ) L(3, 0)  → L′( , ) M(-2, 0)  → M′( , )

  3. Example 2 Write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin. J(-2, -2)  → J′( , ) K(-2, 2)  → K′( , ) L(-1, 2)  → L′( , ) M(-1, -2)  → M′( , )

  4. Example 3 Write the coordinates of the vertices after a dilation with a scale factor of 1/3 centered at the origin. L(9, -3)  → L′( , ) M(9, 9)  → M′( , ) N(0, -6)  → N′( , )

  5. Example 4 Determine whether the dilation from Figure A to Figure B is a reduction or enlargement. Then, fing the values of the variables. y cm 4.5 cm B A

  6. Example 5 Determine whether the dilation from Figure A to Figure B is a reduction or enlargement. Then, fing the values of the variables. 6 cm A B y cm

  7. Example 5 Find the scale factor. Tell whether the dilation is a reduction or an enlargement. Then, find the values of the variables. 13.5 3 5.2 y 3 x

  8. Example 6 Determine whether the following scale factor would create an enlargement, reduction, or isometric figure. a. 7.9 b. 2/3 c. 8/5

  9. Example 7 Given the point and its image, determine the scale factor: Q(14, 9); Q’(4.76, 3.06)

  10. Example 8

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