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Transformations

Transformations. By Justin Basa. Dilations. Dilation is when you change a figure’s shape. You can either enlarge it or reduce it. There are two types of dilations: enlargements and reductions. . Translations.

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Transformations

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  1. Transformations By Justin Basa

  2. Dilations • Dilation is when you change a figure’s shape. You can either enlarge it or reduce it. • There are two types of dilations: enlargements and reductions.

  3. Translations • Translation is when you change a figure’s coordinates. That means moving it up, down, left, or right.

  4. Reflections • Reflection is when you change one of the figure’s coordinates into its opposite. • If you’re reflecting over the x-axis, you make the figure’s y-coordinate into its opposite. • If you’re reflecting over the y-axis, you make the figure’s x-coordinate into its opposite. • For example, if the figure’s coordinates are (1,2) and you’re reflecting over the x-axis, you make 2 negative. The new coordinates will be (1,-2). If you’re reflecting over the y-axis, make the 1 negative. The new coordinates will be (-1,2).

  5. Enlargements • Enlargements are a type of dilation. If you dilate a figure and the new one is larger than the original one, then the dilation is an enlargement. • Scale factors greater than one will produce an enlargement. If you’re scale factor is anything less than one, than your dilation is not an enlargement.

  6. Reductions • Reductions are a type of dilation. If you dilate a figure and the new one is smaller than the original one, then the dilation is a reduction. • Scale factors less than one produce a reduction. If your scale factor is greater than one, then your dilation is not a reduction.

  7. PerimeterandArea • When you change a two-dimensional figure’s dimensions, you affect the perimeter and area. • For example, you have a square with its sides being one inch long. You dilate it to a square with two inches long. The original’s area is one inch square. The new figure’s area is four inches squared. The area is now four times larger. • It’s the same for perimeter. You have a square with one inch sides. You dilate it to a figure with two inch sides. The original’s perimeter is four inches. The new figure’s perimeter is eight inches. The perimeter is now two times larger.

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