1. Match the quote to the correct coordinate notation. One is done for you.
Rules for Rotation on a Coordinate Plane
A. $90^{\circ}$ rotation clockwise or $270^{\circ}$ counterclockwise
\[
(x, y) \rightarrow(y,-x)
\]
$90^{\circ}$ rotation counterclockwise or $270^{\circ}$ clockwise
\[
(x, y) \rightarrow(-y, x)
\]
$180^{\circ}$ rotation
\[
(x, y) \rightarrow(-x,-y)
\]
$360^{\circ}$ rotation
\[
(x, y) \rightarrow(x, y)
\]
Quote
A. "To rotate the figure, all $x$ values will be the $y$ values; all $y$ values will be the opposite sign of the $\mathrm{x}$ values.

B. "To rotate the figure, all $x$ values will take the opposite sign; all y values will take the opposite sign."

C. "To rotate the figure, all $x$ values will take the opposite sign of the $y$ values; all $y$ values will take the x values."

D. "To rotate the figure, all $x$ values will remain the same; all y values will remain the same."

Step 1 ：Match the given quotes to the correct rotation rules on a coordinate plane.

Step 2 ：The first quote 'To rotate the figure, all x values will be the y values; all y values will be the opposite sign of the x values.' matches with the rule for a $90^{\circ}$ rotation clockwise or $270^{\circ}$ counterclockwise, which is $(x, y) \rightarrow(y,-x)$.

Step 3 ：The second quote 'To rotate the figure, all x values will take the opposite sign; all y values will take the opposite sign.' matches with the rule for a $180^{\circ}$ rotation, which is $(x, y) \rightarrow(-x,-y)$.

Step 4 ：The third quote 'To rotate the figure, all x values will take the opposite sign of the y values; all y values will take the x values.' matches with the rule for a $90^{\circ}$ rotation counterclockwise or $270^{\circ}$ clockwise, which is $(x, y) \rightarrow(-y, x)$.

Step 5 ：The fourth quote 'To rotate the figure, all x values will remain the same; all y values will remain the same.' matches with the rule for a $360^{\circ}$ rotation, which is $(x, y) \rightarrow(x, y)$.

Step 6 ：\(\boxed{\text{Final Answer:}}\)

Step 7 ：A. 'To rotate the figure, all x values will be the y values; all y values will be the opposite sign of the x values.' corresponds to $90^{\circ}$ rotation clockwise or $270^{\circ}$ counterclockwise $(x, y) \rightarrow(y,-x)$.

Step 8 ：B. 'To rotate the figure, all x values will take the opposite sign; all y values will take the opposite sign.' corresponds to $180^{\circ}$ rotation $(x, y) \rightarrow(-x,-y)$.

Step 9 ：C. 'To rotate the figure, all x values will take the opposite sign of the y values; all y values will take the x values.' corresponds to $90^{\circ}$ rotation counterclockwise or $270^{\circ}$ clockwise $(x, y) \rightarrow(-y, x)$.

Step 10 ：D. 'To rotate the figure, all x values will remain the same; all y values will remain the same.' corresponds to $360^{\circ}$ rotation $(x, y) \rightarrow(x, y)$.