1. Warm Up: Why do we use dilations to create scale drawings of figures? (Think about the properties of a scale drawing) Please answer in full sentences.

2. Dilations Practice Do you understand the properties of dilations?

3. 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r.

4. Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r.

5. I know that the center O will lie on line AA’ and line BB’. I will draw line AA’ and line BB’.

6. Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r. I know that the center O will lie on line AA’ and line BB’. I will draw line AA’ and line BB’.

7. Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r. The only point that lies on line AA’ and line BB’ is the point of intersection. That is my center O.

8. Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r. The only point that lies on line AA’ and line BB’ is the point of intersection. That is my center O. O

9. Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r. To find the scale factor, I compare length OA to OA’ and OB to OB’. O

10. Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r. I find that OA’ is twice the length of OA. OB’ is twice the length of OB. Therefore, my scale factor is r=2. O

13. I begin by finding A’ and B’. I draw rays OA and OB. Then I dilate A and B using the scale factor r = 3.

15. Now measure A’B’ and AB.

16. A’B’=12.6 units. AB = 4.2 units.

20. First, I must find A’, B’, and C’ using a dilation with scale factor r=3.

24. I know the center of dilation O will lie on the line AA’.

26. I know the center of dilation O will lie on the line AA’. I can put O on the left of A or on the right of A’.

27. O

28. O

29. O

30. Now I dilate P with scale factor r=1/4. O P’