Question

write the coordinates of the vertices after a reflection over the y-axis. j(\square,\square) k(\square,\square) l(\square,\square) m(\square,\square)

Explanation:

Step1: Recall the rule for reflection over the y - axis

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

Step2: Find the coordinates of the original points

From the graph:

• Point \(J\) has coordinates \((5,-5)\)
• Point \(K\) has coordinates \((8,-2)\)
• Point \(L\) has coordinates \((6,0)\)
• Point \(M\) has coordinates \((4,-2)\)

Step3: Apply the reflection rule

• For \(J(5,-5)\): Using the rule \((x,y)\to(-x,y)\), we get \(J'(- 5,-5)\)
• For \(K(8,-2)\): Using the rule \((x,y)\to(-x,y)\), we get \(K'(-8,-2)\)
• For \(L(6,0)\): Using the rule \((x,y)\to(-x,y)\), we get \(L'(-6,0)\)
• For \(M(4,-2)\): Using the rule \((x,y)\to(-x,y)\), we get \(M'(-4,-2)\)

Answer:

\(J'(-5,-5)\), \(K'(-8,-2)\), \(L'(-6,0)\), \(M'(-4,-2)\)