1. Geo A 11.1 Reflections Assignment 1 1. Graph the reflection of the polygon in the given line.

5. Original vertex: (3, -1) (-3, -1) (3, -3) (-5, -1) (3, 5)

6. Since C is reflected over AB, CD = DC’. 2x + 5 = 3x – 15 5 = x – 15 20 = x CC’ = CD + DC’ = (2x + 5) + (3x – 15) CC’ = 5x – 10 = 5(20) – 10 = 90 cm

7. A reflection is an isometry, so distance is preserved. QR = Q’R’ 4x – 3 = 12 – x 5x – 3 = 12 5x = 15 x = 3 QR = 4x – 3 QR = 4(3) -3 = 12 – 3 = 9 units

8. Find point C on the x-axis so AC + BC is a minimum. Graph points A and B. Reflect one point (I reflected point B) over the x-axis. Connect A to B’. The location of the intersection of AB’ and the X-axis is the point C that will minimize AC + BC. Locate C at (5, 0).

9. Find point C on the x-axis so AC + BC is a minimum. Graph points A and B. Reflect one point (I reflected point B) over the x-axis. Connect A to B’. The location of the intersection of AB’ and the x-axis is the point C that will minimize AC + BC. Locate C at (3, 0).

10. Find point C on the x-axis so AC + BC is a minimum. Graph points A and B. Reflect one point (I reflected point B) over the x-axis. Connect A to B’. The location of the intersection of AB’ and the x-axis is the point C that will minimize AC + BC. Locate C at (-4, 0).

11. Which figure represents a reflection over line s? If the figure is not a reflection, explain why it is not. This is a reflection.

12. Which figure represents a reflection over line s? If the figure is not a reflection, explain why it is not. This is not a reflection. If you connect pre-image points to image points, those segments are NOT perpendicular to line s.

13. Which figure represents a reflection over line s? If the figure is not a reflection, explain why it is not. This is a reflection.

14. How many lines of symmetry does each figure have? Draw the lines of symmetry for each figure. 11. There are two lines of symmetry. 12. There are no lines of symmetry.

15. How many lines of symmetry does each figure have? Draw the lines of symmetry for each figure. 13. There are six lines of symmetry. 14. There are no lines of symmetry.

16. How many lines of symmetry does each figure have? Draw the lines of symmetry for each figure. 15. There are no lines of symmetry. 16. There are eight lines of symmetry.