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Question $\newline$ Waterviter $\newline$ Shaw trita $\newline$ What is the image point of $\newline$ $(6,1)$ after the transformation $\newline$ $R_{180}$ or $\newline$ $r_{11}$ ? $\newline$ Answer Altempt init of $\newline$ Snbmit Answey

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Sum and difference rules

Full solution

Q. Question

\newline

Waterviter

\newline

Shaw trita

\newline

What is the image point of

\newline

(6,1)

after the transformation

\newline

R_{180}

or

\newline

r_{11}

?

\newline

Answer Altempt init of

\newline

Snbmit Answey

Understand the transformation: Understand the transformation. $\newline$ The notation $R_{180}$ typically refers to a rotation of $180$ degrees around the origin $(0,0)$ in the coordinate plane. The notation $r_{11}$ is not standard and seems to be a typo or irrelevant to the problem. We will focus on the rotation $R_{180}$ .
Determine rotation effect: Determine the effect of a $180^\circ$ rotation. A rotation of $180^\circ$ around the origin will change the sign of both the $x$ and $y$ coordinates of any point. This is because rotating a point $180^\circ$ will place it on the opposite side of both axes.
Apply transformation to point: Apply the transformation to the point $(6,1)$ . To find the image of the point $(6,1)$ after a $180$ -degree rotation, we change the signs of both coordinates: The $x$ -coordinate: $6$ becomes $-6$ . The $y$ -coordinate: $1$ becomes $-1$ .
Write image point: Write down the image point. $\newline$ The image point after the transformation is $(-6,-1)$ .

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