Question

1. point s’ is the image of s under a reflection across the y = -x. find the coordinates of s’. s(-3, 21) 5. point b’ is the image of b under a reflection across the x = 5. find the coordinates of b’. b(-2, 8)

Explanation:

Step 1: Reflect S over $y=-x$

For a point $(x,y)$, reflection over $y=-x$ is $(-y,-x)$.
For $S(-3,21)$: $S' = (-21, 3)$

Step 2: Reflect B over $x=5$

First find distance from B to $x=5$: $5 - (-2) = 7$.
Add twice the distance to x-coordinate: $-2 + 2\times7 = 12$.
y-coordinate stays the same, so $B'=(12,8)$

Answer:

1. Coordinates of $S'$: $(-21, 3)$
2. Coordinates of $B'$: $(12, 8)$