Download Presentation
## Geometry

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**Section 8.7 Notes**Geometry**8.7 Dilations**• A Dilation is a transformation that either enlarges or reduces the size of a figure, with respect to a center point, A.**8.7 Dilations**• If the image is smaller, then it is a reduction and the scale factor is less than 1, (k < 1) • *Note: the distance that correlates to the image is always the numerator**8.7 Dilations**• If the image is larger, then it is an enlargement and the scale factor is greater than 1, (k > 1)**Is the dilation a reduction or enlargment?**• Reduction • Enlargment 10 0 of 24**Is the dilation a reduction or enlargement?**• Reduction • Enlargement 10 0 of 24**Is the dilation a reduction or enlargement?**• Reduction • Enlargement 8 0 of 24**Find the scale factor of the dilation**• 5 • 2 • ½ • 1/5**Find the scale factor of the dilation**• 4 • 3/2 • 2/3 • 1/4**Find the scale factor of the dilation**• 5 • 9/4 • 4/9 • x/3**Find the value of x.**• 8 • 16.5 • 17 • 20**Find the value of x.**• 4 • 8 • 9 • 12**8.7 Dilations**• Dilations in the coordinate plane, with the origin as the center of dilation, can be done by multiplying the coordinates by the scale factor. • In general for a dilation, (x , y) (k*x, k*y) • Ex. The center of dilation is the origin and the scale factor is k = 4, then (3, -2) (12, -8)**What is the image of (4, 8), using the scale factor k = 2**• (2, 4) • (1, 2) • (8, 16) • (6, 10)**What is the image of L, dilated with scale factor k = ½**• (1.5, 0) • (2.5, 0) • (3 , 0) • (6 , 0)