Question

the figure below has a point marked with a large dot. first, reflect the figure across the y - axis. then, give the coordinates of the marked point in the original figure and the final figure. point in original figure: (□,□) point in final figure: (□,□)

Explanation:

Step1: Identify original point coordinates

Locate the marked point on the grid: it is at $x=5$, $y=4$, so the coordinate is $(5, 4)$.

Step2: Apply y-axis reflection rule

For reflection across the y-axis, the rule is $(x, y) \to (-x, y)$. Substitute $x=5$, $y=4$:
$(-5, 4)$

Answer:

Point in original figure: (5, 4)
Point in final figure: (-5, 4)