Question

translate pqr is reflected over a vertical line of reflection to create triangle pqr. what are the coordinates of point r? (1 point) (11,1) (-2,7) (1,-3) (-3,1)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over a vertical line, the $y -$coordinate remains the same. Let's assume the vertical line of reflection is the $y -$axis ($x = 0$). The formula for reflecting a point $(x,y)$ over the $y -$axis is $(-x,y)$. Given point $R(-11,1)$, when reflected over the $y -$axis, we change the sign of the $x -$coordinate.

Step2: Calculate new $x -$coordinate

The original $x -$coordinate of $R$ is $- 11$. After reflection over the $y -$axis, the new $x -$coordinate is $-(-11)=11$, and the $y -$coordinate remains $1$. So the coordinates of $R'$ are $(11,1)$.

Answer:

$(11,1)$