Question

1. point s’ is the image of s under a reflection across the y = -x. find the coordinates of s’. s(-3, 21) 4. point p’ is the image of p under a reflection across... find the coordinates of p’ p(12.5, 31.5) 5. point b’ is the image of b under a reflection across the x = 5. find the coordinates of b’. b(-2, 8) 6. point h’ is the image of h under a reflection across... find the coordinates of h’ h(6, -9)

Explanation:

Step1: Reflect S over $y=-x$

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

Step2: Reflect B over $x=5$

For a point $(x,y)$, reflection over $x=a$ is $(2a-x,y)$.
For $B(-2,8)$, $a=5$: $2*5 - (-2) = 12$, so $B'(12, 8)$

Answer:

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

(Note: Questions 4 and 6 are incomplete, so only solvable questions 3 and 5 are answered above)