transformations (dilations). . .

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Presentation transcript:

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

Remember, a dilation is any ____________________________. What is it?? 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. re-sizing small scale factor multiply

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

Original Coordinates: Multiplying by ½ is the SAME as dividing by 2!! AI BI C CI REDUCTION! 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 AI ( , ) BI ( , ) CI ( , ) -2 3 1 3 1 1.5 Multiplying by ½ is the SAME as dividing by 2!!

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

Math-7 NOTES To be completed together in class: DATE: ______/_______/_______ 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. To be completed together in class: Directions: Plot the original points as indicated. Connect the points to make a right triangle. Then, perform the given dilation. Original Coordinates: A (-2, 4) B (2, 4) C (2, 1) Dilate by Scale Factor of 2 AI ( , ) BI ( , ) CI ( , ) Multiply everything by 2!

Original Coordinates: A (-4, 6) B (2, 6) C (2, 3) 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 AI ( , ) BI ( , ) CI ( , ) Multiplying by ½ is the SAME as dividing by 2!! 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 __________________________________ .

Dilations classwork Date:_____/_____/__________ Name:___________________________________ Dilations classwork

Math-7 HOMEWORK “Dilations” NAME: ________________________________________________________________________________DATE:_____/_____/__________