Question

k(□,□) l(□,□) m(□,□) n(□,□)

Explanation:

Step1: Determine the original coordinates

• \(K(4,-10)\), \(L(4,4)\), \(M(8,4)\), \(N(8,-10)\)

Step2: Assume a translation (since no transformation type is specified, but common in such grid - based problems, assume no transformation for the sake of showing coordinate writing. If it's a reflection over \(x\) - axis, the \(y\) - coordinate changes sign)

• For reflection over \(x\) - axis: \((x,y)\to(x, - y)\)
• \(K'(4,10)\):
• Using the rule \((x,y)\to(x, - y)\) with \(x = 4,y=-10\), we get \(y'=10\)
• \(L'(4, - 4)\):
• Using the rule \((x,y)\to(x, - y)\) with \(x = 4,y = 4\), we get \(y'=-4\)
• \(M'(8, - 4)\):
• Using the rule \((x,y)\to(x, - y)\) with \(x = 8,y = 4\), we get \(y'=-4\)
• \(N'(8,10)\):
• Using the rule \((x,y)\to(x, - y)\) with \(x = 8,y=-10\), we get \(y'=10\)

Answer:

\(K'(4,10)\)
\(L'(4, - 4)\)
\(M'(8, - 4)\)
\(N'(8,10)\)