Question

write the coordinates of the vertices after a reflection over the x - axis.

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to each vertex

• For vertex \(A(0,-3)\):

Using the rule \((x,y)\to(x, - y)\), we get \(A'(0,3)\).

• For vertex \(B(0,-1)\):

Using the rule \((x,y)\to(x, - y)\), we get \(B'(0,1)\).

• For vertex \(C(6,-2)\):

Using the rule \((x,y)\to(x, - y)\), we get \(C'(6,2)\).

Answer:

\(A'(0,3)\), \(B'(0,1)\), \(C'(6,2)\)