Question

write the coordinates of the vertices after a reflection over the line $y=-x$. $k(\square,\square)$ $l(\square,\square)$ $m(\square,\square)$ $n(\square,\square)$

Explanation:

Step1: Find original coordinates

From the graph, the original coordinates are \(K(4,5)\), \(L(7,7)\), \(M(4,9)\), \(N(-1,7)\).

Step2: Apply reflection rule

The rule for reflection over the line \(y = -x\) is \((x,y)\to(-y,-x)\).

• For \(K(4,5)\): \((4,5)\to(-5,-4)\)
• For \(L(7,7)\): \((7,7)\to(-7,-7)\)
• For \(M(4,9)\): \((4,9)\to(-9,-4)\)
• For \(N(-1,7)\): \((-1,7)\to(-7,1)\)

Answer:

\(K'(-5,-4)\), \(L'(-7,-7)\), \(M'(-9,-4)\), \(N'(-7,1)\)