Question

triangle pqr is reflected over a vertical line of reflection to create triangle pqr. what are the coordinates of point q? (1 point) (-2,7) (-3,1) (7,-2) (12,7)

Explanation:

Step1: Find the line of reflection

The x - coordinate of $P(-8,9)$ changes to $P'(-6,9)$. The line of reflection is the vertical line halfway between the x - coordinates of $P$ and $P'$. The formula for the line of reflection $x$ is $x=\frac{-8+( - 6)}{2}=\frac{-14}{2}=-7$.

Step2: Reflect point $Q$

The x - coordinate of $Q$ is $x_Q=-12$. The distance from $x_Q = - 12$ to the line of reflection $x=-7$ is $d=-7-( - 12)=5$. The x - coordinate of $Q'$ is $-7 + 5=-2$. The y - coordinate of $Q$ does not change during a vertical line reflection. Since $y_Q = 7$, then $y_{Q'}=7$. So the coordinates of $Q'$ are $(-2,7)$.

Answer:

$(-2,7)$