Home/ Questions/Q 107205
Next
In Process

Quizzma Latest Questions

In:

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?

Quizzma Team

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?




Share
    Leave an answer

    Leave an answer

    Browse

    What is the capital of Egypt? ( Cairo )

    1 Answer

    1. Quizzma Team

      To find the coordinates of the image of parallelogram ABCD after dilation, we apply the dilation transformation to each vertex of the parallelogram.

      Dilation with center (0, 0) and scale factor 3:

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

      – A’ = (3 * x₁, 3 * y₁)

      – B’ = (3 * x₂, 3 * y₂)

      – C’ = (3 * x₃, 3 * y₃)

      – D’ = (3 * x₄, 3 * y₄)

      Dilation with center (0, 0) and scale factor 1/2:

      Using the same coordinates for the vertices:

      – A’ = (0.5 * x₁, 0.5 * y₁)

      – B’ = (0.5 * x₂, 0.5 * y₂)

      – C’ = (0.5 * x₃, 0.5 * y₃)

      – D’ = (0.5 * x₄, 0.5 * y₄)

      This means each coordinate is multiplied by the scale factor

    Related Questions