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

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• Slide 1
• Todays 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.
• Slide 2
• 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
• Slide 3
• Original Coordinates: A (-2, 4)B (2, 4)C (2, 1) Dilate by Scale Factor of 2 A (, ) B (, ) C (, ) 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
• Slide 4
• 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 A (, ) B (, ) C (, ) -2 3 1 3 1 1.5 Multiplying by is the SAME as dividing by 2!!
• Slide 5
• 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
• Slide 6
• END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow (entitled Practice Work) represent the homework assigned for that day.
• Slide 7
• 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 (, )B (, )C (, ) 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:
• Slide 8
• Original Coordinates:A (-4, 6)B (2, 6)C (2, 3) Dilate by Scale Factor of A (, )B (, )C (, ) 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 is the SAME as dividing by 2!!
• Slide 9
• 9 Date:_____/_____/__________ Name:___________________________________
• Slide 10
• 10
• Slide 11
• Multiplying by is the same as dividing by 4! First, write down the ORIGINAL ordered pairs. Then, multiply.
• Slide 12
• Slide 13
• 1.2.3. 4.5.6. 13 Date:_____/_____/__________ Name:___________________________________
• Slide 14
• TRANSFORMATIONS QUIZ REVIEW 1.2. 3. Point A, located at (2, 5) is translated four units to the right and three units down. What is the location of A prime? A (6, 8) B (6, 2) C (-2, 8) D (-2, 2) 4. 5.6.
• Slide 15
• 7.8. Point A, located at (-2, -4), is rotated 270 degrees counter-clockwise. Where is A prime? A (-2, 4) B (4, -2) C (2, 4) D (-4, 2) 9. Point A, located at (-1, -8), is rotated 90 degrees clockwise. Where is A prime? A (8, 1) B (-1, 8) C (-8, 1) D (8, -1) 10. Point A, located at (-3, 5) is reflected over the x axis. Where is A prime? A (3, 5) B (-3, -5) C (3, -5) D (-3, 5) ##### Geometric Transformations - UC Homepages herronda/linear_algebra/... Geometric Transformations These are transformations R2!R2 that include translations dilations rotations re ections
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