Question

a reflection across the x - axis maps the point (4,-5) to the point (a,b). a reflection across the y - axis maps the point (4,-5) to the point (c,d).

Explanation:

Step1: Recall x - axis reflection rule

When reflecting a point $(x,y)$ across the $x$-axis, the $x$-coordinate remains the same and the $y$-coordinate changes sign. Given the point $(4, - 5)$, for reflection across the $x$-axis, $x = 4$ stays the same and $y=-5$ becomes $y = 5$.

Step2: Recall y - axis reflection rule

When reflecting a point $(x,y)$ across the $y$-axis, the $y$-coordinate remains the same and the $x$-coordinate changes sign. Given the point $(4,-5)$, for reflection across the $y$-axis, $y=-5$ stays the same and $x = 4$ becomes $x=-4$.

Answer:

A. 4
B. 5
C. -4
D. -5