When you have two shapes to compare on a coordinate plane, you can determine the scale factor, knowing that the transformation was a dilation. generate instructions you would give another student to determine the scale factor

General
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when you have two shapes to compare on a coordinate plane, you can determine the scale factor, knowing that the transformation was a dilation. generate instructions you would give another student to determine the scale factor.

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How to Determine the Scale Factor for Dilation on a Coordinate Plane

Answer:
To determine the scale factor for dilation when comparing two shapes on a coordinate plane, follow these steps:

  1. Identify Corresponding Vertices: Begin by identifying the corresponding vertices of the two similar shapes. Match each vertex of the pre-image with its corresponding vertex on the image after dilation.

  2. Calculate the Distance Between Corresponding Vertices: Measure the distance between the corresponding vertices of the two shapes. You can use the coordinates of the vertices to calculate the distance using the distance formula.

  3. Determine the Scale Factor: The scale factor is defined as the ratio of the length of a side of the image shape to the length of the corresponding side of the pre-image shape. To find the scale factor, divide the length of any side of the image shape by the length of the corresponding side of the pre-image shape.

  4. Verify Consistency: Repeat the process for multiple pairs of corresponding sides to ensure the scale factor remains consistent across the shapes. If the ratio is consistent for all pairs of corresponding sides, you have correctly determined the scale factor.

  5. Express the Scale Factor: Finally, express the scale factor as a single number or ratio, depending on the context, to describe how much the shape has been enlarged or reduced through dilation.

By following these steps, you can effectively determine the scale factor for dilation when comparing two shapes on a coordinate plane.