1. R EFLECTIONS, T RANSLATIONS & R OTATIONS (G.3 D /9.1-9.3) Obj: SWBAT identify isometries and find reflections, translations and rotations of geometric images. (G.3d) WU: Checkpoint G.1 graded HW (day 67): Worksheet- completed Formula Quiz/Quiz next block 3 separate motivational quotes scrolled pearsonsuccess.net (due Friday) *hw/hw log/storybook: “Symmetry and Transformation” Wkb p. 225, 229, 233 *Put your TEI Solid questions in bucket A!!!!

2. E XTRA C REDIT Jefferson Lab: Geometry 40 questions email: kieabrown@spsk12.netkieabrown@spsk12.net (or print out the last page) Due: Friday Sell the BOGO cards: $5/card

3. Copy this into your SOL Binder (Day 69) Answer: 2

4. Copy this into your SOL Binder (Day 69) Answer: D

5. T RANSFORMATION Y OU - TUBE VIDEO http://www.youtube.com/watch?v=NKtJd1hkI9k Interactive Site for Transformatios https://www.desmos.com/calculator/0ksctv1hm4

12. Reflection: Pre – image to Image: Activity: 1. Graph triangle ABC where: A(5, 12), B(9, 8), C(2, 3) 2. Fold across y and x axis with the diagram on top. 3. Cut figure from all 4 squares. 4. Identify Points. R EFLECTION ABOUT THE GRAPH x - axisy - axisoriginy = x (a, b) → (a, - b) (a, b) → ( - a, b) (a, b) → ( -a,-b) (a, b) → (b, a)

13. A flip is also known as a reflection. Properties of reflections: a. A reflection reverses orientation. b. A reflection is an Isometry. ∆BUG ≅∆BˈUˈGˈ ∆BUG clockwise orientation ∆BˈUˈGˈ Counterclockwise orientation

19. T RY T HIS : Parallelogram ABCD with vertices: A(3, 2), B(1, -3), C(-3, -1), D(-1, 4) Graph the image for the translation (x,y) →(x+5, y – 3)

21. Rotation: Is a transformation that turns every point of a pre – image through a specified angle and direction about a fixed point. Center of rotation: Is the fixed point. Angle of rotation: the angle for which the pre-image is rotated to form the image. Properties of rotations: 1. A rotation is an Isometry. 2. A rotation does not change orientation. Note: A rotation will be counterclockwise.

22. Rotates counterclockwise unless stated otherwise. Quarter–turn: 90° Pre-image: (a, b) Image: (-b, a) Half– turn:180° Pre-image: (a, b) Image: (-a, -b) Three-Quarter–turn: 270° Pre-image: (a, b) Image: (b, -a) R OTATION AND O RDERED PAIRS

23. 1.Name the image of E under a 72° rotation about x. 2. …P under a 216° rotation about x 3. … T under a 144° rotation about x 4. … A under a 288° rotation about x 5. Describe a single rotation that maps E to N 6. Name the image of PE under a 72° rotation about x. 7. …PE under a 144° rotation about x. 8. …PE under a 216° rotation about x. P ENTAGON P A T N E x

26. Rotate THAT 180° about the origin. Graph it. T (4, 0) H (-5, 2) A (3, 1) T (8, -2) E XAMPLE :

27. Is a image that can be rotated less than 360° about a point so that the image and the pre-image are indistinguishable. (i.e. they look the same) Has a symmetry order of 5 b/c there are 5 rotations of less than 360° that produce an image indistinguishable from the original. Has a Magnitude of 72° b/c 360 divided by the order produces the magnitude of the symmetry. R OTATIONAL S YMMETRY

28. To find the degree of rotation, we can count the number of times the same point appears. How many times does the point A appear in the figure? ________________ If n is the number of times A appears, then the degree of rotation is: ___________