Question

the rectangle lmno, shown below, is reflected across the x - axis to form the image lmno.
write the coordinates of the vertices of lmno.
show your work here

Explanation:

Step1: Recall the reflection rule

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

Step2: Find the coordinates of \(L\), \(M\), \(N\), \(O\)

From the graph, \(L(2,-9)\), \(M(4,-9)\), \(N(4,-13)\), \(O(2,-13)\)

Step3: Apply the reflection rule

For point \(L(2,-9)\):
Using the rule \((x,y)\to(x, - y)\), we get \(L'(2,9)\)
For point \(M(4,-9)\):
Using the rule \((x,y)\to(x, - y)\), we get \(M'(4,9)\)
For point \(N(4,-13)\):
Using the rule \((x,y)\to(x, - y)\), we get \(N'(4,13)\)
For point \(O(2,-13)\):
Using the rule \((x,y)\to(x, - y)\), we get \(O'(2,13)\)

Answer:

\(L'(2,9)\), \(M'(4,9)\), \(N'(4,13)\), \(O'(2,13)\)