1. Do Now Where did you attend to precision in yesterday’s lesson? Math Practice 6: Attend to precision 1

2. Placemat 2 Mark symbols on diagrams. Corresponding pairs of sides and angles. Congruence. Maps onto. Rotations. Translation Notations.

3. Targets I can perform transformations in the coordinate plane.  Use and understand mapping notation ( x, y ) → ( x − 6, y − 5) I can explain congruence in terms of rigid motions.  Rigid motions preserve side and angle measures. 3

4. Language Language Objective  In rigid motions the pre-image and image are congruent.  Rigid motions preserve side and angle measures. 4

5. Which of the following items are “rigid”? 5

6. rigid motion Describe a rigid motion. 6

7. Quadrants You will be assigned tasks based on your seat in your group of 4. 7

8. Mystery Transformations Set up your axes: -6 < x < 8 -7 < y< 6 8

9. Mystery Transformations Pre-image A (1, 1) B (2, 4) & C (3, 2) I.(x, y)  (x + 2, y – 7) II.(x, y)  (3 – x, y) III.(x, y)  (-x, y) IV.(x, y)  (x – 5, y – 6) You may use a table. 9 xy 11 24 32

10. Mystery Transformations Pre-image A (1, 1) B (2, 4) & C (3, 2) I.(x, y)  (x + 2, y – 7) II.(x, y)  (3 – x, y) III.(x, y)  (-x, y) IV.(x, y)  (x – 5, y – 6) Describe the resulting transformation in detail. 10 Peer Assessment: You should have on 2 types of transformations.

11. Mystery Transformations Pre-image A (1, 1) B (2, 4) & C (3, 2) I.(x, y)  (x + 2, y – 7) II.(x, y)  (3 – x, y) III.(x, y)  (-x, y) IV.(x, y)  (x – 5, y – 6) Are the images congruent to the pre-image? 11

12. Mystery Transformations Pre-image A (1, 1) B (2, 4) & C (3, 2) I.(x, y)  (x + 2, y – 7) II.(x, y)  (3 – x, y) III.(x, y)  (-x, y) IV.(x, y)  (x – 5, y – 6) Use patty paper to determine if angles and sides are congruent. Mark congruent sides. Mark congruent angles. Are the images congruent to the pre-image? 12

13. Transformation Notation Function Notation 13

14. Mystery Transformations Set up your axes: -8 < x < 10 -10 < y<15 14

15. Mystery Transformations Pre-image A (1, 1) B (2, 4) & C (3, 2) I.(x, y)  (-2x, y) II.(x, y)  (-y, x) III.(x, y)  (3x, 3y) IV. (x, y)  (-2x, -2y) 15 Describe the resulting transformation in detail.

16. Mystery Transformations Pre-image A (1, 1) B (2, 4) & C (3, 2) I.(x, y)  (-2x, y) II.(x, y)  (-y, x) III.(x, y)  (3x, 3y) IV. (x, y)  (-2x, -2y) Are the images congruent to the pre-image? 16 Peer Assessment: You should have 1 congruent and 2 similar triangles.

17. Targets I can perform transformations in the coordinate plane.  Use and understand mapping notation ( x, y ) → ( x − 6, y − 5) I can explain congruence in terms of rigid motions.  Rigid motions preserve side and angle measures. 17

18. Language Highlight these words in your notes from yesterday and today. Describe any words you don’t know in the skinny column. 18

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20. Ticket Out What kind of transformation is made by (x, y)  (x + 3, y – 2) Check all boxes that apply The transformation is ☐ congruent ☐ translation ☐ reflection ☐ rotation 20