Question

1. s(3,4), t(3,1), u(-2,1), v(-2,4)

reflection across the x - axis.

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to point \(S(3,4)\)

For \(S(3,4)\), using the rule \((x,y)\to(x, - y)\), we get \(S'(3,-4)\).

Step3: Apply the rule to point \(T(3,1)\)

For \(T(3,1)\), using the rule \((x,y)\to(x, - y)\), we get \(T'(3,-1)\).

Step4: Apply the rule to point \(U(-2,1)\)

For \(U(-2,1)\), using the rule \((x,y)\to(x, - y)\), we get \(U'(-2,-1)\).

Step5: Apply the rule to point \(V(-2,4)\)

For \(V(-2,4)\), using the rule \((x,y)\to(x, - y)\), we get \(V'(-2,-4)\).

Answer:

\(S'(3,-4)\), \(T'(3,-1)\), \(U'(-2,-1)\), \(V'(-2,-4)\)