MEASUREMENT AND CONSTRUCTION 1. Given AABC shown, graph its image after a dilation centered at the origin with a scale factor of 2. Give the coordinates of the images of the vertices below. 2. List all pairs of parallel line segments from problem 1. PROBLEM SOLVING 3. In the following diagram, OR is the image of NP after a dilation centered at the origin with a scale factor of k. Which of the following would not be a correct calculation of k. (1) OR OR NP (3) OP (2) ON (4) ON 4. If the line containing the points (-2, 10) and (7, 4) is dilated by a factor of 2, then the slope of the new line would be which of the following? (1) WIN (3) (2) (4) w /y 5. Which of the following lines would not have its equation change after a dilation with a center at the origin? (1) y=x+3 (3) y = 4x (2) y = 10 (3) x =66. If the line y-7=3(x+5) is dilated with a center at the origin and a scale factor of 4, which of the following equations would describe its image? (1) y-7=12(x+5) (3) y -28 =12(x+20) (2) y -28 =3(x+20) (4) y-28=3(x+5) REASONING 7. Line segment AB has endpoints at A(-4, 4) and B (8, 8). (a) Find and plot its image after a dilation with a center at the origin and a scale factor of - . Give the coordinates of A' and B' below. (b) Using coordinate geometry show that A'B'CB . (c) Using coordinate geometry, show that A' B' = _ AB 8. In the diagram shown, EF is the image of BC after a dilation with an unknown center point and unknown scaling factor. (a) Determine the scaling factor, k. Show how you arrived at your answer. (b) Determine the coordinates of the center point graphically