1. Quiz Determine the slope of each line. 1. PQ 2. MN 3. Which pair of lines are parallel? In the figure, WXYZ  ABCD 4. Find XY. 5. Find mB.

2. Pre-Algebra 5.7 Transformations

3. Determine if the following sets of points form a parallelogram. 1. (–3, 0), (1, 4), (6, 0), (2, –4) 2. (1, 2), (–2, 2), (–2, 1), (1, –2) 3. (2, 3), (–3, 1), (1, –4), (6, –2) yes no yes Warm Up

4. Learn to transform plane figures using translations, rotations, and reflections.

5. transformation translation rotation center of rotation reflection image Vocabulary

6. 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 reflections are type of transformations.

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

8. Identify each as a translation, rotation, reflection, or none of these. A. B. reflection rotation Example: Identifying Transformations

9. Identify each as a translation, rotation, reflection, or none of these. C. D. none of the thesetranslation Example: Identifying Transformations

10. Identify each as a translation, rotation, reflection, or none of these. A B C A. B. A B C D A’ B’ C’ D’ translation reflection A’A’ B’B’ C’C’ Try This

11. Identify each as a translation, rotation, reflection, or none of these. B C D E F C. D. A A’A’ B’B’ C’C’ D’D’ F’F’ E’E’ rotation none of these Try This

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

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

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

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

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

17. Draw the image of the polygon after the transformation. A B C D E F C’ A’ B’ D’ E’F’ C. 90° counterclockwise rotation around point C Try This

18. Reflection and Translation

19. Dilation and Rotation

20. 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) Example: Graphing Transformations

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

22. 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 Example: Graphing Transformations

23. 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) x y –2 2 Try This

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

25. C. Reflection across the x-axis Draw the image of a shape with vertices of (1, –2), (3, 2), (7, 3), and (6, –1) after each transformation. x y –2 2 Try This

26. 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) 2. (2, 3), (5, 5), (1, –2), (5, –4) and (–2, 3), (–5, 5), (–1, –2), (–5, –4) translation reflection Lesson Quiz: Part 1

27. 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) 4. (4, 1), (1, 2), (4, 5), (1, 5) and (–4, –1), (–1, –2), (–4, –5), (–1, –5) none rotation Lesson Quiz: Part 2