Question

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

Explanation:

Step1: Find the line of reflection

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

Step2: Reflect point $R$

The x - coordinate of $R$ is $-11$. The distance from $x=-11$ to $x = - 7$ is $|-11-( - 7)|=|-11 + 7| = 4$. The x - coordinate of $R'$ will be $-7+4=-3$. The y - coordinate of a point does not change in a vertical line reflection. Since the y - coordinate of $R$ is $1$, the y - coordinate of $R'$ is also $1$. So the coordinates of $R'$ are $(-3,1)$.

Answer:

$(-3,1)$