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QUESTION IMAGE

3 reflect across the x-axis l( , )→l( , ) m( , )→m( , ) n( , )→n( , )

Question

3 reflect across the x-axis
l( , )→l( , )
m( , )→m( , )
n( , )→n( , )

Explanation:

Step1: Find coordinates of L, M, N

From the graph, L is at (1, 5), M is at (3, 5), N is at (2, 1).

Step2: Apply reflection over x - axis rule

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

  • For point L(1, 5):

Using the rule, \(L(1,5)\to L'(1,-5)\)

  • For point M(3, 5):

Using the rule, \(M(3,5)\to M'(3,-5)\)

  • For point N(2, 1):

Using the rule, \(N(2,1)\to N'(2,-1)\)

Answer:

\(L(1,5)\to L'(1, - 5)\)
\(M(3,5)\to M'(3, - 5)\)
\(N(2,1)\to N'(2, - 1)\)