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 \(U(-5,-1)\): Using the rule \((x,y)\to(x, - y)\), we get \(U'(-5,1)\).
• For vertex \(V(-2,-1)\): Using the rule \((x,y)\to(x, - y)\), we get \(V'(-2,1)\).
• For vertex \(W(-2,-4)\): Using the rule \((x,y)\to(x, - y)\), we get \(W'(-2,4)\).
• For vertex \(T(-5,-4)\): Using the rule \((x,y)\to(x, - y)\), we get \(T'(-5,4)\).

Answer:

\(U'(-5,1)\), \(V'(-2,1)\), \(W'(-2,4)\), \(T'(-5,4)\)