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Transformations

Transformations. By: Morgan Clark. Dilations . In a dilation you are able to either reduce your object or enlarge it. If you dilate an object by 500% you will enlarge it because the 500% is actually 5 wholes and it is greater than one whole.

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Transformations

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  1. Transformations By: Morgan Clark

  2. Dilations • In a dilation you are able to either reduce your object or enlarge it. • If you dilate an object by 500% you will enlarge it because the 500% is actually 5 wholes and it is greater than one whole. • Dilating your image by .5 will reduce your object because it is less than one whole.

  3. Translations • A translation is were you change your original coordinates by first moving your figure right or left.

  4. Reflections • A reflection is where you can flip your figure over the x-axis or the y-axis.

  5. Enlargement • In order to enlarge your figure you must have a scale factor greater than one. • If you dilate an object by 500% you will enlarge it because the 500% is actually 5 wholes and it is greater than one whole.

  6. Reductions • In a reduction you have to have a scale factor less than one in order to reduce. • Dilating your image by 0.5 will reduce your object because it is less than one whole.

  7. How Perimeter is Affected • The perimeter is affected the same as the scale factor ALWAYS! • You would do your perimeter then you would say NO to oreos, and divide the new by original perimeters. • It is easier to leave the new by old in a fraction when you divide.

  8. How Area is Affected • The area and scale factor will NEVER be the same as each other. • You would say NO to oreos and divide new by original to get your answer. • It is easier to leave your division as a fraction.

  9. Illustration for Enlargement vs. Reduction 10 X=5 2.5 5 The scale factor is ½ because you would set your proportion up like so….. 10/5 = x/2.5. You would have to multiply the 10 by the ½ to get your answer which is X=5.

  10. How 2D figures are changed for Area 10in. 5in. Area=50in.2 5in. Area=12.5in.2 2.5in.

  11. How 2D Figures are changed for Perimeter 12in. 6in. 10in. 5in. Perimeter=32in. Perimeter=16in. 10in. 5in.

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