Question

write the coordinates of the vertices after a reflection over the x - axis. r(-4,0) s(4, ) t(, ) u(, )

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the $x -$axis is $(x,-y)$.

Step2: Find coordinates of S

The original coordinates of S are $(4, - 8)$. After reflection over the $x -$axis, using the rule $(x,-y)$, the new coordinates of S are $(4,8)$.

Step3: Find coordinates of T

The original coordinates of T are $(5,0)$. After reflection over the $x -$axis, using the rule $(x,-y)$, the new coordinates of T are $(5,0)$ (since $-0 = 0$).

Step4: Find coordinates of U

The original coordinates of U are $(-4,0)$. After reflection over the $x -$axis, using the rule $(x,-y)$, the new coordinates of U are $(-4,0)$ (since $-0 = 0$).

Answer:

S(4,8), T(5,0), U(-4,0)