Question

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

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to each vertex

• For vertex \(T(-6, - 2)\):

Using the rule \((x,y)\to(-x,y)\), we substitute \(x=-6\) and \(y = - 2\). So, \(-x=-(-6) = 6\). The new coordinate is \(T'(6,-2)\).

• For vertex \(U(-1,2)\):

Substitute \(x=-1\) and \(y = 2\) into the rule \((x,y)\to(-x,y)\). Then \(-x=-(-1)=1\). The new coordinate is \(U'(1,2)\).

• For vertex \(V(-1,-10)\):

Substitute \(x=-1\) and \(y=-10\) into the rule \((x,y)\to(-x,y)\). So, \(-x=-(-1) = 1\). The new coordinate is \(V'(1,-10)\).

• For vertex \(S(-7,-6)\):

Substitute \(x=-7\) and \(y=-6\) into the rule \((x,y)\to(-x,y)\). Then \(-x=-(-7)=7\). The new coordinate is \(S'(7,-6)\).

Answer:

\(T'(6,-2)\), \(U'(1,2)\), \(V'(1,-10)\), \(S'(7,-6)\)