Question

in the coordinate plane, the points a(-3, -5), b(2, -1), and c(11, 8) are reflected over the x - axis to the points a, b, and c, respectively. what are the coordinates of a, b, and c?

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected over the x - axis, the x - coordinate remains the same and the y - coordinate changes its sign, i.e., $(x,y)\to(x, - y)$.

Step2: Find coordinates of $A'$

For point $A(-3,-5)$, using the rule $(x,y)\to(x, - y)$, we get $A'(-3,5)$.

Step3: Find coordinates of $B'$

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

Step4: Find coordinates of $C'$

For point $C(11,8)$, using the rule $(x,y)\to(x, - y)$, we get $C'(11,-8)$.

Answer:

$A'(-3,5)$
$B'(2,1)$
$C'(11,-8)$