Question

the coordinates of the vertices of a quadrilateral are e (6, 6), f (6, -6), g (-3, -6), and h (-3, 5). quadrilateral efgh is reflected across the x - axis to create quadrilateral efgh. what are the coordinates of the vertices of quadrilateral efgh?

Explanation:

Step1: Recall reflection rule

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

Step2: Find new coordinates of E

For point E$(6,6)$, applying the rule: $(6,6)\to(6,-6)$.

Step3: Find new coordinates of F

For point F$(6, - 6)$, applying the rule: $(6,-6)\to(6,6)$.

Step4: Find new coordinates of G

For point G$(-3,-6)$, applying the rule: $(-3,-6)\to(-3,6)$.

Step5: Find new coordinates of H

For point H$(-3,5)$, applying the rule: $(-3,5)\to(-3,-5)$.

Answer:

E'$(6,-6)$, F'$(6,6)$, G'$(-3,6)$, H'$(-3,-5)$