Question

write the coordinates after reflection of x - axis. a(-5,-2) b(-1,-4) c(-4,-7) (a) a (b) b (c) c

Explanation:

Step1: Recall reflection rule

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

Step2: Find coordinates of $A'$

For point $A(-5,-2)$, applying the rule: $x=-5,y = - 2$, so $A'(-5,2)$.

Step3: Find coordinates of $B'$

For point $B(-1,-4)$, applying the rule: $x=-1,y=-4$, so $B'(-1,4)$.

Step4: Find coordinates of $C'$

For point $C(-4,-7)$, applying the rule: $x = - 4,y=-7$, so $C'(-4,7)$.

Answer:

(a) $A'(-5,2)$
(b) $B'(-1,4)$
(c) $C'(-4,7)$