Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

directions: graph and label each figure and its im give the coordinates…

Question

directions: graph and label each figure and its im give the coordinates of the image. 6. triangle abc with vertices a(-3, 2), b(-1, 7), and c(6, 1): x - axis a(_, _) b(_, _) c(_, _)

Explanation:

Step1: Recall reflection rule

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

Step2: Find coordinates of $A'$

For point $A(-3,2)$, applying the rule: $A'(-3,- 2)$.

Step3: Find coordinates of $B'$

For point $B(-1,7)$, applying the rule: $B'(-1,-7)$.

Step4: Find coordinates of $C'$

For point $C(6,1)$, applying the rule: $C'(6,-1)$.

Answer:

$A'(-3,-2)$
$B'(-1,-7)$
$C'(6,-1)$