Transformation on the Coordinate Plane

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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 […]

How to Graph Transformation on the Coordinate Plane: Rotation?

How to Graph Transformation on the Coordinate Plane: Rotation?

For rotating a shape \(90\) degrees counterclockwise:\((x, y)→(-y, x)\) For rotating a shape \(180\) degrees: \((x, y)→(-x, -y)\) For rotating a shape \(270\) degrees counterclockwise: \((x, y)→(y, -x)\) You should be able to assume the center of rotation to be the origin when working on the coordinate plane unless otherwise stated. You should be able […]

How to Graph Transformation on the Coordinate Plane: Reflection?

How to Graph Transformation on the Coordinate Plane: Reflection?