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Bell Work

7. 6. What are the coordinates of the figure to the right?. (-4 , 5). A. 5. 4. Bell Work. 3. 2. B. C. (-1 , 2). (-4 , 2). 1. -5. -3. -2. 1. 2. -4. -1. Section 2.4 Stuck Smack Dab in the Middle: Rotating a Figure. Mug’s Problem .

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Bell Work

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  1. 7 6 What are the coordinates of the figure to the right? (-4 , 5) A 5 4 Bell Work 3 2 B C (-1 , 2) (-4 , 2) 1 -5 -3 -2 1 2 -4 -1

  2. Section 2.4Stuck Smack Dab in the Middle:Rotating a Figure

  3. Mug’s Problem Mug is in a “persnickament”. He is stuck in bubble gum and cannot lift his foot completely. He cannot move backwards or forwards, he can only rotate. Four of his friends are inviting him to do different activities so he must face each friend to respond.

  4. Before We Begin • What is a rotation? • What is the difference between clockwise and counterclockwise? • What is a point of rotation? A rotation (a turn) is a transformation of a figure by turning it about a center point. The amount of the rotation is usually expressed in the number of degrees. • A central point around which a figure is rotated. • The distance from the center to any point on the shape stays the same.

  5. Who is Mug facing? (-5 , 3) (-2 , 3) C B Bug What are the coordinates of Mug’s shoe in its original position? A D (0, 0) (-5 , 0)

  6. Make a Prediction What do you think will happen when Mug turns to face Glug? Decide which direction you need to rotate Mug’s shoe to face Glug and trace its location.

  7. Mug and Glug What is the degree of this rotation? Original Coordinates A (0 , 0) B (-2 , 3) C (-5 , 3) D (-5, 0) 90 degrees C B A D What are the new coordinates when Mug is facing Glug? B A (o , 0) B (-3 , -2) C (-3 , -5) D (0 , -5) C D

  8. 90 Degree Rotation What do you notice about the new coordinates? When you rotate an object 90 degrees, flip the x and y coordinates. Change the sign (positive and negative) when necessary.

  9. Mug and Zug What is the degree of this rotation? Original Coordinates A (0 , 0) B (-2 , 3) C (-5 , 3) D (-5, 0) 180 degrees B C D D A What are the new coordinates when Mug is facing Zug? C B A (0 , 0) B (2 , -3) C (5 , -3) D (5 , 0)

  10. 180 Degree Rotation What do you notice about the new coordinates? When you rotate an object 180 degrees, keep x and y the same but change their sign (positive or negative).

  11. Mug and Lug Original Coordinates A (0 , 0) B (-2 , 3) C (-5 , 3) D (-5, 0) D C B C B D A What are the new coordinates when Mug is facing Lug? What is the degree of this rotation? Complete this on your sheet. 90 degrees

  12. Section 2.5Reflection Inspection:Reflecting a Figure

  13. Mug’s Problem Mug is in another “persnickament”. He is still stuck in bubble gum and cannot lift his foot completely. He cannot move backwards or forwards, nor can only rotate. His only allowable move is a reflection. Four of his friends are inviting him to do different activities so he must face each friend to respond.

  14. What is a Reflection? A reflection (or flip) is a transformation that produces the mirror image of a geometric figure. An object can be reflected over an axis on the coordinate grid. Reflection over the x-axis Reflection over the y-axis

  15. Bell Work • Get your paper from Tuesday’s classwork from the desk at the front of the room. • Have your pencil out and ready to work.

  16. Predict What will the new coordinates be if Mug’s show is reflected over the x-axis? (-3 , 3) (0 , 3) C B A D (0, 0) (-5 , 0)

  17. Over x-axis C B (0 , 0) (0 , -3) D A (-3 , -3) (-5 , 0) To reflect over the x-axis, the numbers stay the same but the y changes signs (positive or negative). C B

  18. Predict What will the new coordinates be if Mug’s show is reflected over the y-axis? (-3, 3) (0, 3) C B A D (0, 0) (-5 , 0)

  19. Over y-axis C B C (0 , 0) (0 , 3) (3 , 3) D D A (5 , 0) To reflect over the y-axis, the numbers stay the same but the x changes signs (positive or negative).

  20. Predict II I What do you think would happen if you reflected Mug’s shoe over the x and y axis? (-3 , 3) (0, 3) C B A D (0, 0) (-5 , 0) III IV

  21. Over x and y-axes C B (0 , 0) (0 , -3) A (3 , -3) D D (5 , 0) B C To reflect over the x and y-axes, the numbers stay the same but both the x and y signs change.

  22. Important Vocabulary • Rotation – A transformation of a figure by turning it about a center point. Also called a turn. • Reflection – A transformation that produces the mirror image of a geometric figure. Also called a flip.

  23. Important Notes • To rotate a figure 90 degrees, flip the x and y coordinates. Change the signs (positive and negative) when necessary. • To rotate the figure 180 degrees, keep x and y the same, but flip their signs (positive and negative). • To reflect over the y-axis, the numbers stay the same and the x sign changes. • To reflect over the x-axis, the numbers stay the same but the y sign changes.

  24. Exit Slip B C (1 , 4) (6 , 4) What will the new coordinates be if the rectangle to the right if reflected over the x axis? A D (6 , 1) (1 , 1)

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