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What are the coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and a scale factor of 3? What are the coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and a scale factor of 1/2?

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What are the coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and a scale factor of 3?
What are the coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and a scale factor of 1/2?




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    1. Quizzma Team

      To find the coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and given scale factors, you can use the formula for dilation:

      New Coordinates = (Scale Factor) × (Original Coordinates)

      1. For a scale factor of 3:

      – If the original coordinates of the vertices of parallelogram ABCD are A(x₁, y₁), B(x₂, y₂), C(x₃, y₃), and D(x₄, y₄), then the new coordinates after dilation would be:

      – A’ = (3 * x₁, 3 * y₁)

      – B’ = (3 * x₂, 3 * y₂)

      – C’ = (3 * x₃, 3 * y₃)

      – D’ = (3 * x₄, 3 * y₄)

      2. For a scale factor of 1/2:

      – Using the same original coordinates, the new coordinates after dilation would be:

      – A’ = (1/2 * x₁, 1/2 * y₁)

      – B’ = (1/2 * x₂, 1/2 * y₂)

      – C’ = (1/2 * x₃, 1/2 * y₃)

      – D’ = (1

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