Question

christo graphs $overline{ab}$ with endpoints a (-3, -2) and b (-1, -2). what are the endpoints of the image after a reflection of $overline{ab}$ across the x - axis? (-3, 2) and (-1, 2) none of the other answers are correct (1, -2) and (3, -2) (-3, -2) and (-1, -2) (2, 3) and (2, 1)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the $x -$axis, the rule is $(x,y)\to(x, - y)$.

Step2: Apply rule to point A

For point $A(-3,-2)$, using the rule $(x,y)\to(x, - y)$, we get $(-3,-(-2))=(-3,2)$.

Step3: Apply rule to point B

For point $B(-1,-2)$, using the rule $(x,y)\to(x, - y)$, we get $(-1,-(-2))=(-1,2)$.

Answer:

(-3,2) and (-1,2)