1. Course 1 12-4 Graphing Reflections Check 12-3 HW

2. Course 1 12-4 Graphing Reflections 6 th Grade Math HOMEWORK None

3. Course 1 12-1 Tables and Functions Our Learning Goal Students will understand functions by creating tables and graphing translations.

4. Course 1 12-1 Tables and Functions Students will understand functions by creating tables and graphing translations. Learn to use data in a table to write an equation for a function and to use the equation to find a missing value. Learn to represent linear functions using ordered pairs and graphs. Learn to use translations to change the positions of figures on a coordinate plane. Learn to use reflections to change the positions of figures on a coordinate plane. Learn to use rotations to change positions of figures on a coordinate plane. Learn to visualize and show the results of stretching or shrinking a figure.

5. Today’s Learning Goal Assignment Learn to use reflections to change the positions of figures on a coordinate plane. Course 1 12-4 Graphing Reflections

6. 12-4 Graphing Reflections Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

7. Warm Up A parallelogram has vertices (-4, 1), (0, 1), (-3, 4), and (1, 4). What are its vertices after it has been translated 4 units right and 3 units up? (0, 4), (4, 4), (1, 7), (5, 7) Course 1 12-4 Graphing Reflections

8. Problem of the Day These are rits: 24042, 383, and 4994. These are not rits: 39239, 28, and 5505. Which of these are rits: 39883, 4040, and 101? Why? 101 is a rit because it is the same forward and backward. Course 1 12-4 Graphing Reflections

9. -8 -6 -4 -2 2 4 6 8 8 2 4 6 -2 -4 -6 -8 y x Additional Example 1: Reflecting Figures on a Coordinate Plane Give the coordinates of the figure after the given reflection. Reflect parallelogram EFGH across the y-axis. EF GH Course 1 12-4 Graphing Reflections

10. Additional Example 1 Continued To reflect the parallelogram across the y-axis, write the opposites of the x-coordinates. The y-coordinates do not change. EFGHE’F’G’H’ E(–4, 0)E’(4, 0) F(0, 0)F’(0, 0) G(–2, –3)G’(2, –3) H(–6, –3)H’(6, –3) Course 1 12-4 Graphing Reflections

11. Additional Example 1 Continued Reflect parallelogram EFGH across the y-axis. -8 -6 -4 -2 2 4 6 8 8 2 4 6 -2 -4 -6 -8 y x E F GH E’E’F’F’ G’G’ H’H’ Course 1 12-4 Graphing Reflections

12. -8 -6 -4 -2 2 4 6 8 8 2 4 6 -2 -4 -6 -8 y x Try This: Example 1 Give the coordinates of the figure after the given reflection. Reflect parallelogram EFGH across the x-axis. EF GH Course 1 12-4 Graphing Reflections

13. Try This: Example 1 Continued To reflect the parallelogram across the x-axis, write the opposites of the y-coordinates. The x-coordinates do not change. EFGHE’F’G’H’ E(–4, 0)E’(–4, 0) F(0, 0)F’(0, 0) G(–2, –3)G’(–2, 3) H(–6, –3)H’(–6, 3) Course 1 12-4 Graphing Reflections

14. Try This: Example 1 Continued Reflect parallelogram EFGH across the x-axis. -8 -6 -4 -2 2 4 6 8 8 2 4 6 -2 -4 -6 -8 y x E F GH E’E’ F’F’ G’G’ H’H’ Course 1 12-4 Graphing Reflections

15. Additional Example 2: Design Application A designer is using a stencil that is shaped like the figure below. A pattern is made by reflecting the figure across the x-axis. Give the coordinates of the vertices of the figure after the reflection. -8 -6 -4 -2 2 4 6 8 8 2 4 6 -2 -4 -6 -8 y x P Q S R Course 1 12-4 Graphing Reflections

16. Additional Example 2 Continued To reflect the quadrilateral across the x-axis, write the opposites of the y-coordinates. The x-coordinates do not change. PQRSP’Q’R’S’ P(1, 7)P’(1, –7) Q(2, 1)Q’(2, –1) R(–1, 1)R’(–1, –1) S(–3, 3)S’(–3, –3) Course 1 12-4 Graphing Reflections

17. Additional Example 2 Continued -8 -6 -4 -2 2 4 6 8 8 2 4 6 -2 -4 -6 -8 y x P Q S R P’P’ Q’Q’ S’S’ R’R’ Course 1 12-4 Graphing Reflections

18. Try This: Example 2 A designer is using a stencil that is shaped like the figure below. A pattern is made by reflecting the figure across the y-axis. Give the coordinates of the vertices of the figure after the reflection. -8 -6 -4 -2 2 4 6 8 8 2 4 6 -2 -4 -6 -8 y x P Q S R Course 1 12-4 Graphing Reflections

19. Try This: Example 2 Continued To reflect the quadrilateral across the y-axis, write the opposites of the x-coordinates. The y-coordinates do not change. PQRSP’Q’R’S’ P(–3, 7)P’(3, 7) Q(–2, 1)Q’(2, 1) R(–5, 1)R’(5, 1) S(–7, 3)S’(7, 3) Course 1 12-4 Graphing Reflections

20. Try This: Example 2 Continued -8 -6 -4 -2 2 4 6 8 8 2 4 6 -2 -4 -6 -8 y x P Q S R Q’Q’ P’P’ S’S’ R’R’ Course 1 12-4 Graphing Reflections

21. Lesson Quiz Give the coordinates of the vertices of each figure after the given reflection. 1. Reflect triangle ABC with vertices A(5, 1), B(2, 3), and C(4, 6) across the x-axis. 2. Reflect parallelogram PQRS with vertices P(–4, –4), Q(1, –4), R(–2, 2), and S(3, 2) across the y-axis. P’(4, –4), Q’(–1, –4), R’(2, 2), and S’(–3, 2) A’(5, –1), B’(2, –3), C’(4, –6) Insert Lesson Title Here Course 1 12-4 Graphing Reflections