$\"\"$

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Vertices of $\"\"$ are $\"\"$ and $\"\"$ .

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Find the vertex matrix after rotation at $\"\"$ about the origin.

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

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Write the ordered pair as a vertex matrix.

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Then multiply the vertex matrix by the rotation matrix.

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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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Find reflection along $\"\"$ -axis.

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

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Write the ordered pair as a vertex matrix.

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Then multiply the vertex matrix by the reflection the $\"\"$ -axis of symmetry.

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$\"\"$ .

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

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Then multiply the vertex matrix by the reflection the $\"\"$ -axis of symmetry.

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$\"\"$ .

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

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Compare the vertex matrices.

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The matrices are equal.

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So, rotating $\"\"$ $\"\"$ counterclockwise about the origin is the same as reflecting the figure in the $\"\"$ –axis, then in the $\"\"$ –axis.

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$\"\"$

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Rotating $\"\"$ $\"\"$ counterclockwise about the origin is the same as reflecting the figure in the $\"\"$ –axis, then in the $\"\"$ –axis.