Work on this as a table! QUIETLY!

1. 10 3 – MN, RQ Work on this as a table! QUIETLY! Determine the slope of each line. 1. PQ 2. MN 3. MQ 4. NP 5. Which pair of lines are parallel? 1 8 7

2. WARM-UP In the figure, WXYZ@ABCD 10 80° 2. Find mB. 1. Find XY. 8 3. Find CD. 90° 4. Find mZ.

3. TRY THIS…. Determine if the following sets of points form a parallelogram. 1. (–3, 0), (1, 4), (6, 0), (2, –4) yes

4. Today we will examine TRANSFORMATIONS

5. TRANSFORMATIONS

6. TRANSFORMATIONS

7. TRANSFORMATIONS

8. TRANSFORMATIONS

9. Three Types of Transformations! translations rotations reflections

11. Vocabulary transformation translation rotation center of rotation reflection image

12. When you are on an amusement park ride, you are undergoing a transformation. Ferris wheels and merry-go-rounds are rotations. Free fall rides and water slides are translations. Translations, rotations, and reflectionsare type of transformations.

13. The resulting figure or image, of a translation, rotation or reflection is congruent to the original figure.

14. Additional Example 1A & 1B: Identifying Transformations Identify each as a translation, rotation, reflection, or none of these. B. A. rotation reflection

15. Additional Example 1C & 1D: Identifying Transformations Identify each as a translation, rotation, reflection, or none of these. C. D. none of the these translation

16. A’ C’ D’ A’ B’ B’ C’ WARM- UP 1)What are the three types of transformations? translation, rotation, reflection, 2) Identify which type of transformation is taking place below. A. B. B A A C D C B reflection translation

17. Try This: Example 1C & 1D Identify each as a translation, rotation, reflection, or none of these. E’ C. D. A’ F’ D’ A B’ B C’ F C D none of these rotation E

18. A’ B’ C’ Additional Example 2A: Drawing Transformations Draw the image of the triangle after the transformation. A. Translation along AB so that A’ coincides with B A B C

19. B’ C’ A’ Additional Example 2B: Drawing Transformations Draw the image of the triangle after the transformation. B. Reflection across BC. A B C

20. C’ A’ B’ Additional Example 2C: Drawing Transformations Draw the image of the triangle after the transformation. C. 90° clockwise rotation around point B A B C

21. B’ A. Translation along DE so that E’ coincides with D C’ F’ A’ D’ E’ Try This: Example 2A Draw the image of the polygon after the transformation. B C A F D E

22. B. Reflection across CD. B’ C’ A’ F’ D’ E’ Try This: Example 2B Draw the image of the polygon after the transformation. B C A D F E

23. D’ C’ B’ F’ E’ A’ Try This: Example 2C Draw the image of the polygon after the transformation. C. 90° counterclockwise rotation around point C MEGAN & everyone Else!!!!! B C A F D E

24. WARM UP Draw the image of a triangle with vertices of (1, 1), (2, –2 ), and (5, 0) after each transformation. A. 180° counterclockwise rotation around (0, 0) We found the opposite of each coordinate.

25. Additional Example 3B: Graphing Transformations Draw the image of a triangle with vertices of (1, 1), (2, –2 ), and (5, 0) after each transformation. B. Translation 5 units left

26. Additional Example 3C: Graphing Transformations Draw the image of a triangle with vertices of (1, 1), (2, –2 ), and (5, 0) after each transformation. C. Reflection across the x-axis When you reflect across the “X” you change the “Y” i.e. 1 to -1, When you reflect across the “Y”, you change the “X” – i.e. 1,1 becomes -1,1

27. http://nlvm.usu.edu/en/nav/frames_asid_207_g_1_t_3.html?open=activitieshttp://nlvm.usu.edu/en/nav/frames_asid_207_g_1_t_3.html?open=activities

28. Try This: Example 3A Draw the image of a shape with vertices of (1, –2), (3, 2), (7, 3), and (6, –1) after each transformation. A. 180° clockwise rotation around (0, 0) y 2 x –2

29. Try This: Example 3B Draw the image of a shape with vertices of (1, –2), (3, 2), (7, 3), and (6, –1) after each transformation. B. Translation 10 units left y 2 x –2

30. Try This: Example 3C Draw the image of a shape with vertices of (1, –2), (3, 2), (7, 3), and (6, –1) after each transformation. C. Reflection across the x-axis C. Reflection across the x-axis When you reflect across the “X” you change the “Y” i.e. 1 to -1, When you reflect across the “Y”, you change the “X” – i.e. 1,1 becomes -1,1 y 2 x –2

31. Lesson Quiz: Part 1 Given the coordinates for the vertices of each pair of quadrilaterals, determine whether each pair represents a translation, rotation, reflection, or none of these. 1. (2, 2), (4, 0), (3, 5), (6, 4) and (3, –1), (5, –3), (4, 2), (7, 1) translation 2. (2, 3), (5, 5), (1, –2), (5, –4) and (–2, 3), (–5, 5), (–1, –2), (–5, –4) reflection

32. Lesson Quiz: Part 2 Given the coordinates for the vertices of each pair of quadrilaterals, determine whether each pair represents a translation, rotation, reflection, or none of these. 3. (1, 3), (–1, 2), (2, –3), (4, 0) and (1, –3), (–1, 2), (–2, 3), (–4, 0) none 4. (4, 1), (1, 2), (4, 5), (1, 5) and (–4, –1), (–1, –2), (–4, –5), (–1, –5) rotation

33. Today... Lesson 5 - 7 Page 256-257 Now! Write It In Your Planner!