Pre-Image Rotation Rotational Symmetry Symmetry. EOC Review

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1 Name: Period GL UNIT 13: TRANSFORMATIONS I can define, identify and illustrate the following terms: Dilation Center of dilation Scale Factor Enlargement Reduction Composition of Transformations Image Isometry Line of Symmetry Pre-Image Rotation Rotational Symmetry Symmetry Translation Translation Symmetry Tessellations Reflection Dates, assignments, and quizzes subject to change without advance notice. 22 TAKS Translations, Reflections, and symmetry 29 Review 6 EOC Review 23 TAKS (only see 2 nd, 4 th and 6 th ) Rotations, Dilations, and Tessellations 30 Test #15 Part 1 Transformations 7 EOC 24TAKS (only see 3 nd, 5 th and 7 th ) Rotations, Dilations, and Tessellations 1-2 EOC Review (Assign Project) 8-9 EOC 25 TAKS (only see 6 th, 4 th and 2 nd ) Work on Tessellation Project 26 TAKS (only see 7 th, 5 th, 3 rd and 1 st ) Rotations, Dilations, and Tessellations 3 EOC Review 10 Tessellation Project Due (Test #15 Part 2) Monday, 4/22/13 Introduction, Translations, Reflections, and Symmetry I can define, identify, and illustrate the vocabulary for this unit. I can name the pre-image and image points of a transformation. I can write a translation statement. I can translate figures on the coordinate plane. I can reflect across the x-axis and the y-axis I can reflect across y= x and y= -x I can draw a line of symmetry for a given figure I can find the equation of a line of symmetry PRACTICE: Pg (#1-7, 12, 19-22, 29-32) Pg (#2-5, 9-12), Symmetry Assignment WST Tuesday, 4/23/13 through Friday, 4/26/13 Rotations, Dilations, and Tessellations I can rotate 90, 180, and 270 around the origin I can determine if a figure has rotational symmetry I can determine the scale factor of dilation. I can create a dilation given a scale factor and center on a graph. I can determine if a tessellation is regular, semi-regular, or non-regular. PRACTICE Pg (# 1-4, 7-10, 27-30, 42) Pg 875 (#2-5, 9-12, 24-25, 46, 47) Work on your Tessellation Project as needed Due 5/10

2 Monday, 4/29/13 Review I can assess my strengths and weaknesses on all previously learned material. PRACTICE: REVIEW WORKSHEET Tuesday, 4/30/13 Test Unit #15: Transformations I can demonstrate my ability on all previously learned material.

3 NOTES: Introduction and Translations A is a change in the,, or shape of a figure. The original shape is called the. The new shape is the. Each vertex of the should be labeled with. An transformation is one which does not change the or. A translation is a where all in a move the same. (Pictured above) Ex: Write a translation statement for the following transformation and name the image: Translate the point A(4, -5) to the left 2 and up 7. Translation Statement: (, ) (, ) Plug in: A ( 4, -5 ) (, ) Image: A (, ) Your Turn: 1. Write the translation statement and name the image: Translate R(3, 7) to the right 4 and up 3. Translation Statement: Image: 2. Write the translation statement and name the image: Translate U(-6, 3) by (x, y) (x 7, y +4) Translation Statement: Image: Whiteboard Problems: 1. Graph the pre-image and the image: A(-2, -4) B(-1, -2) C(-3, 0); (x, y) (x + 2, y + 4) 2. Move R( -4, -4) S(-2, -3) T(-1, 3) using the translation (x, y) (x - 3, y - 1) 3. Move K (2, 6) I (4, 2) T(-2, 4) E(8, 4) down 6 and to the left 6. Write the translation statement.

4 NOTES: Reflections A reflection is a across a line in which the and the are the same distance from the of. To reflect, count the distance the line of reflection, then count past the line the exact same distance. Ex: Reflect A(-7, 7) B(-3, 7) C(-3, 4) D(-7, 4) across the x axis. Ex: Reflect across the y-axis. Ex: Reflect across the line y = x. Ex: Reflect across the line y = -x. ***Notice that when reflecting across y = x, the coordinates. When reflecting across y = -x, the coordinates and. NOTES: Symmetry A figure has symmetry if there is a of the figure such that the coincides with the. A figure has (or reflection symmetry) if it can be across a line so that the coincides with the. The of divides the figure into. A figure has symmetry (or radial symmetry) if it can be about a point by an angle greater than and less than so that the image coincides with the pre-image. Ex. 1 Ex. 2 Ex. 3 Ex. 4

5 To write the equation of a line of symmetry you must find its and its. Remember that a vertical line has an slope and starts with. A horizontal line has a slope of and starts with. 13. Equation: 14. Equation: 15.Equation: Symmetry Assignment: Tell whether each figure has line and/or rotational symmetry. Draw all lines of symmetry and give the angle of rotational symmetry To write the equation of a line of symmetry you must find its and its. Remember that a vertical line has an slope and starts with. A horizontal line has a slope of and starts with. 16. Equation: 17. Equation: 18.Equation: *horizontal line of symmetry* *vertical line of symmetry* Hexagon SODIUM Isosceles Triangle PIG Trapezoid TIME S(-2, 2) O(-1, 4) D(2, 4) I(3, 2) P(-8, -5) I(-5, 0) G(-2, -5) T(8, -7) I(5, -4) M(-1, -4) E(-4, -7) U(2, 0) M(-1, 0)

6 19. Equation: *20. Equation: 21. Trapezoid ABCD Isosceles Triangle JKL A(-2, 2) B(2, 2) C(1, -2) D(-1, -2) J(4, 4) K(-2, 2) L(2, -2) 22.Parallelogram LIKE is shown on the grid below. If LIKE is reflected across the line y = x and then translated 4 units right to become parallelogram L I K E, what will be the coordinates of K? I K A. (-1, 2) B. (1, -2) C. (3, 2) D. (5, -2) L E NOTES: Rotations A rotation is a that moves a figure certain degrees around a fixed point. Always rotate to the. 90 = turn, 180 = turns, 270 = turns, 360 = turns. Steps to Rotation: 1. Graph the pre-image. 2. Turn board to the left. 3. WRITE DOWN coordinates of the image. 4. TURN BOARD BACK to original position. 5. Graph the image. Whiteboard Problems: 1. Rotate A(5, 3) Rotate A(2, 6) B(4, 3) C(6, 4) Rotate A(-4, 0) H(2, 4) S(6, -8) Rotate S(-6, 3) T(-6, 7) A(-2, 3) R(-2, 7) 90

7 NOTES: Dilations A dilation is a transformation that changes the of a figure but not its. The tells how much the figure is (gets bigger) or (gets smaller). To dilate a figure, each point by the. Ex: Dilate A(-2, 2) B(2, 2) C(1, -2) D(-1, -2) by a scale factor of 3. A (, ) B (, ) C (, ) D (, ) Ex: Dilate A(-2, 2) B(2, 2) C(1, -2) D(-1, -2) by a scale factor of 1/2. A (, ) B (, ) C (, ) D (, ) The scale factor is found by writing a ratio of over. (or new over old) If the absolute value of the scale factor is then you have an enlargement, if it is between 0 and 1 you have a, and if it is 1 there is no change. Ex: Find the scale factor of the following dilation: C C Scale Factor = A 4 T A 12 T Ex: Find the length of O G and find the length of DG. D O G = D DG = O G O 25 G