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Transformations

Transformations. Exploring Dilations, Translations, and Reflections And Heading into the WORLD OF MATH By yours truly -Sam Frake. Dilations. A Dilation is either a Reduction, when the scale factor is less than one, or an Enlargement, when the scale factor is greater than one.

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Transformations

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  1. Transformations Exploring Dilations, Translations, and Reflections And Heading into the WORLD OF MATH By yours truly -Sam Frake

  2. Dilations • A Dilation is either a Reduction, when the scale factor is less than one, or an Enlargement, when the scale factor is greater than one. • Enlargements go BIG BIGBIG • Reductions go SMALL SMALLSMALL.

  3. Examples of Dilations • This Triangles area is 42, • it is Dilated by a scale factor of 3. • We call this Dilation an Enlargement So its new area is, 42 x 3, which is 126.

  4. ExamplesofDilations • This rectangle has an area of 9. • If we dilate it by a scale factor of 1/3 we are making a reduction. Because it is being Reduced. So its new area is 3.

  5. Translations • Translations are when a figure, on a coordinate plane, “slides” or moves a certain way. A This figure, A, was translated A’ to the right, then down, then back to the right.

  6. Exampleofa Coordinate plane -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12

  7. Reflections • Reflections are like a mirror image. • They can happen two ways • 1. Across the X-axis • 2. Across the Y-axis If the original letter, the one being reflected, is (1,2) and its reflected across the X-axis then its new coordinates will be (1, -2), because only the X value is effected.

  8. ExamplesofReflections Y Axis X Axis This Figure is being reflected across the Y-axis

  9. Examples (Perimeter) 3 6 3 6 The Dimensions are dilated by 200% To find how the area and perimeter and area are affected we must find the area and Perimeter of both figures. Then we say NO to OREOS. By dividing New, Perimeter or Area, By Original Perimeter or Area to find how the Perimeter or Area were affected.

  10. . • Thanks for reading the wonderful Sam Frake’s PowerPoint over Dilations, Translations, and Reflections.

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