Question

1. the point (x, y) is the top of a polygon. which point would it map to if the polygon were reflected over the x - axis and then translated 5 units down? (x,-y - 5) (x, y + 5) (-x, -y + 5) (-x + 5, y)

Explanation:

Step1: Reflect over x - axis

When a point $(x,y)$ is reflected over the $x$-axis, the $x$-coordinate remains the same and the $y$-coordinate changes sign. So the point becomes $(x, - y)$.

Step2: Translate 5 units down

When a point $(x,-y)$ is translated 5 units down, the $x$-coordinate remains the same and 5 is subtracted from the $y$-coordinate. So the new point is $(x,-y - 5)$.

Answer:

$(x,-y - 5)$