$\"\"$

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Rectangle $\"\"$ vertices are $\"\"$ and $\"\"$ .

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Write the vertex matrix for rectangle $\"\"$ is $\"\"$ .

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Find rotation at $\"\"$ about the origin.

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To rotate $\"\"$ about the origin, multiply the vertex matrix by $\"\"$ .

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$\"\"$ .

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Write the vertices of the image.

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The first row represents the $\"\"$ –coordinates and the second row represents the $\"\"$ –coordinates.

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The vertices are $\"\"$ and $\"\"$ .

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$\"\"$

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Graph:

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Plot the points $\"\"$ and $\"\"$ and connect the points to form $\"\"$ .

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Plot the points $\"\"$ and $\"\"$ and connect the points to form $\"\"$ .

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$\"\"$

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Observe the graph:

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Rectangle $\"\"$ and $\"\"$ are similar, both has same shape and rotate about $\"\"$ the origin. $\"\"$

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Coordinates of the vertices of the images are $\"\"$ and $\"\"$ .

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Graph of the rectangle $\"\"$ and $\"\"$ is

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$\"\"$