2. Warm up  Graph the following lines: (remember, a y= line is a horizontal line, a x= line is a vertical line)  Y = 0X = 4  X = 0X = 1  Y = -3Y = -2  These graphs are in your notes

3.  SWBAT reflect an image across a line of reflection  SWBAT write a rule describing a reflection

4. 4 Types of Transformations translations Reflections Rotations Dilations

5. Reflections  Reflections: Not just for thinking about your feelings anymore!  Useful for a variety of things, such as:

6. Knowing what you look like

7. Spying on people

8. Reflecting figures across a coordinate plane!!!

9. Reflection  Reflection: Mirroring an image across a line of reflection

10. I GET IT ALREADY. Reflection. Like a mirror. Show me how to do this.

11. How to Graph Reflections Steps 1. Label each vertex of the original figure 2. Draw a line at the line of reflection 3. Count the distance each vertex is from the line of reflection. 4. Plot your prime vertices the same distance from the line of reflection as the original vertices. 5. Connect your new points and label them as prime. Model: y = 1 A BC D A’A’ B’B’ C’C’ D’D’

12. Example 2 Steps 1. Label each vertex of the original figure 2. Draw a line at the line of reflection 3. Count the distance each vertex is from the line of reflection. 4. Plot your prime vertices the same distance from the line of reflection as the original vertices. 5. Connect your new points and label them as prime. Model: x = -2 A B CD B’B’ A’A’ C’C’D’D’

13. Example #3 Steps 1. Label each vertex of the original figure 2. Draw a line at the line of reflection 3. Count the distance each vertex is from whatever line you’re reflecting over. 4. Plot your prime vertices the same distance from the line of reflection as the original vertices. 5. Connect your new points and label them as prime. Model: x-axis S’S’R’R’ Q’Q’P’P’

14. Example #4 Steps 1. Label each vertex of the original figure 2. Draw a line at the line of reflection 3. Count the distance each vertex is from the line of reflection. 4. Plot your prime vertices the same distance from the line of reflection as the original vertices. 5. Connect your new points and label them as prime. Model: x = 2 A B C D A’A’ D’D’ B’B’ C’C’

16. Ms. Ramsel, shapes ask ME what to do! I don’t follow rules, I WRITE them!

17. Write A Rule of Reflection Steps 1.Count the distance between a vertex and it’s prime 2.Divide that distance by 2 to find the middle 3.Move the vertex by the quotient and draw in the line of reflection 4. Write the equation of a line through that point REMEMBER!!! A. Vertical lines will be in the form of x = ___ B. Horizontal lines will be in the form of y = ___ Model 2 2/2 = 1 Line of Reflection is y = 0

18. Write a Rule of Reflection StepsModel 1.Count the distance between a vertex and it’s prime 2.Divide that distance by 2 to find the middle 3.Move the vertex by the quotient and draw in the line of reflection 4. Write the equation of a line through that point REMEMBER!!! A. Vertical lines will be in the form of x = ___ B. Horizontal lines will be in the form of y = ___ 88/2 = 4 X = 0 OR Line of reflection is the Y-axis

19. Write A Rule of Reflection Steps 1.Count the distance between a vertex and it’s prime 2.Divide that distance by 2 to find the middle 3.Move the vertex by the quotient and draw in the line of reflection 4. Write the equation of a line through that point REMEMBER!!! A. Vertical lines will be in the form of x = ___ B. Horizontal lines will be in the form of y = ___ Model A B C A’A’ B’B’ C’C’ 33/2 = 1.5 Y =.5