How to Graph Transformation on the Coordinate Plane: Dilation?

How to Graph Transformation on the Coordinate Plane: Dilation?

Transformation: Dilation – Example 1:

Transformation: Dilation – Example 2:

Solution:

: First, find the original coordinates:

\(A=(-4, 0)\) \(B=(0, 2)\) \(C=(2, 0)\) \(D=(-2, -4)\)

Next, take all of the coordinates, and multiply them by \(0.5\):

\(A^\prime=(-2, 0)\) \(B^\prime=(0, 1)\) \(C^\prime=(1, 0)\) \(D^\prime=(-1, -2)\)

Now, graph the new image.

Exercises for Transformation: Dilation

Graph the image of the figure using the transformation given.

1) Dilation of \(2\)

2) Dilation of \(0.5\)

1)

2)

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