1. Given the center point C, construct the dilated image of segment 5 after a dilation by a scale factor of 3. Use onlyr a compass and straight edge. Label its image E'F'. Leave all marks. EH F C 2. Verify using your compass that E 'F ' = 3+EF in the diagram above. Leave your construction marks. 3. In the image below, point C lies on segment E3. User your ruler to help dilate RS using C as a center with a scale factor of %. Label the image R '5 '. S 4. Using your ruler, give the measurements of E and R '3' in inches and verify that R'S ' = RS . RS: R|S|= 5. Dilate MBC below using A as the center and a scale factor of 2. Leave all construction marks. B A 6. Line segment MN is the image of CD after a dilation by a factor k C with a center at point A. Using your ruler, determine the value of k to the nearest hundredth. Show the work that leads to your answer. D M N A PROBLEM SOLVING/REASONING 7. If JK is dilated by a factor of 5 with a center point not on JK to produce the image J' K' , then which of the following is true? (1) J'K'| | JK and J'K' = 5JK (2) J' K 'l JK and J'K' = 5JK (3) JK [| J'K' and J' K' = = JK (4) JK I J'K' and J' K' = - JK 8. If RS is dilated by a factor of 4 with a center of R then which of the following is true about the segment joining point S with its image S'? Hint: draw a picture of this one! (1) SS' = 4RS and SS'|| RS (2) SS'= - RS and SS' lies on top of RS (3) SS' = = RS and SS' L RS (4) SS' = 3RS and SS' is collinear with RS 9. Below, AABC has had the midpoints of sides AB and AC marked as D and E with DE drawn. Give a dilation, both the center and the scale factor, that would map DE onto BC. Explain why this will work. Center: Scale factor: Explanation