Question

1. point j (-8, -12) is reflected over the x - axis. where is j? 15. point w(-6, 7) is rotated 90° clockwise. where is w?

Explanation:

Step1: Recall reflection rule over x - axis

When a point $(x,y)$ is reflected over the x - axis, the x - coordinate remains the same and the y - coordinate changes its sign. For point J(-8,-12), the x - coordinate of J' is $x=-8$ and the y - coordinate of J' is $y = -(-12)=12$. So J' is (-8,12).

Step2: Recall 90 - degree clockwise rotation rule

When a point $(x,y)$ is rotated 90° clockwise about the origin, the new coordinates $(x',y')$ are given by $(y,-x)$. For point W(-6,7), $x' = 7$ and $y'=-(-6)=6$. So W' is (7,6).

Answer:

J': (-8,12)
W': (7,6)