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Plot the following points. Label each point with its appropriate letter! 1) Fill-in-the-Blanks: 2)A reflection is a ____________________. 3)A right/left.

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Presentation on theme: "Plot the following points. Label each point with its appropriate letter! 1) Fill-in-the-Blanks: 2)A reflection is a ____________________. 3)A right/left."— Presentation transcript:

1 Plot the following points. Label each point with its appropriate letter! 1) Fill-in-the-Blanks: 2)A reflection is a ____________________. 3)A right/left reflection (over y axis) changes ______ to its opposite. 4)An up/down reflection (over x axis) changes _____ to its opposite. Identify the new coordinates for the following reflections: 5)Point A reflected over the x axis: __________ 6)Point A reflected over the y axis: __________ 7)Point B reflected over the x axis: ________ 8)Point B reflected over the y axis: ________ Name:________________________________________________________________________________Date:_____/_____/__________ A (-1,4)B (2, -2) C (0,5)D (-6, -4) E (3,0)F (6,7) A B

2 Without using a coordinate plane, identify where the following points will end up after the given reflections: 9) (-2, -8) reflected over the x axis: _______ 10) (4,12) reflected over the y axis: _______ 11) (-5,0) reflected over the x axis: _______ 12) (6, -5) reflected over the y axis: _______ Translation/Rotation Review: Identify the location of A prime after the given transformations: Rotations of Point A (use figure to right): 13) 90° clockwise rotation: ________ 14) 180° counter-clockwise rotation: ________ 15) 270° clockwise rotation: ________ Translations of Point A (use figure to right): 16) (-2, -3) translation: ________ 17) (6, 7) translation: ________ 18) (3, -4) translation: ________ A A

3 Today’s Lesson: What: transformations (dilations)... Why: To perform dilations of figures on the coordinate plane. What: transformations (dilations)... Why: To perform dilations of figures on the coordinate plane.

4 Remember, a dilation is any ____________________________. The scale factor controls how large or ________________ the figure will become. We dilate according to the ______________________. More specifically, we ________________ EVERY coordinate by the scale factor. What is it?? re-sizing small scale factor multiply

5 Original Coordinates: A (-2, 4)B (2, 4)C (2, 1) Dilate by Scale Factor of 2 A I (, ) B I (, ) C I (, ) Directions: Plot the original points as indicated. Connect the points to make a right triangle. Then, perform the given dilation. To be completed together in class: -4 8 4 8 4 2 AB C AIAI BIBI CICI Multiply everything by 2!! ENLARGEMENT!

6 Directions: Plot the original points as indicated. Connect the points to make a right triangle. Then, perform the given dilation. Original Coordinates: A (-4, 6)B (2, 6)C (2, 3) Dilate by Scale Factor of ½ A I (, ) B I (, ) C I (, ) -2 3 1 3 1 1.5 Multiplying by ½ is the SAME as dividing by 2!! A B C AIAI BIBI CICI REDUCTION!

7 Soooo, when a figure is dilated by a scale factor GREATER than one, the image gets ________________________. However, when a figure is dilated by a scale factor LESS than one (fraction), the image gets __________________________________. BIGGER smaller

8 END OF LESSON The next slides are student copies of the notes and other handouts that accompany this lesson. These were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

9 Math-7 NOTES DATE: ______/_______/_______ What: transformations (dilations)... Why: To perform dilations of figures on the coordinate plane. What: transformations (dilations)... Why: To perform dilations of figures on the coordinate plane. NAME: Remember, a dilation is any _______________________. The scale factor controls how large or __________the figure will become. We dilate according to the ____________________________. More specifically, we _________________ EVERY coordinate by the scale factor. Original Coordinates: A (-2, 4)B (2, 4)C (2, 1) Dilate by Scale Factor of 2A I (, )B I (, )C I (, ) Directions: Plot the original points as indicated. Connect the points to make a right triangle. Then, perform the given dilation. To be completed together in class: Multiply everything by 2!

10 Original Coordinates:A (-4, 6)B (2, 6)C (2, 3) Dilate by Scale Factor of ½A I (, )B I (, )C I (, ) Directions: Plot the original points as indicated. Connect the points to make a right triangle. Then, perform the given dilation. Soooo, when a figure is dilated by a scale factor GREATER than one, the image gets _________________________________. However, when a figure is dilated by a scale factor LESS than one (fraction), the image gets __________________________________. Multiplying by ½ is the SAME as dividing by 2!!

11 11 Date:_____/_____/__________ Name:___________________________________

12 12

13 NAME: ________________________________________________________________________________DATE:_____/_____/__________

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