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Answer:

The new points to the triangle will be:
[tex]A(1,4)\\ B(1,1)\\ C(-1,1)[/tex]

Step-by-step explanation:

Because the reflection point is at [tex]x=2[/tex], all x values will subtract their distances from [tex]x=2[/tex] to get their new values. The y values remain the same.

The starting values are:

[tex]A(3,4)\\ B(3,1)\\ C(5 ,1)[/tex]

Point [tex]A[/tex] is 1 unit away from [tex]x=2[/tex], so we'll subtract 1 from 2 to get the new x value: [tex]2 - 1 = 1[/tex], so [tex]A(1,4)[/tex].

 

Point [tex]B[/tex] is also 1 unit away from [tex]x=2[/tex], so we'll subtract 1 from 2 to get the new x value: [tex]2 - 1 = 1[/tex], so [tex]B(1,1)[/tex].

Point [tex]C[/tex] is 3 units away from [tex]x=2[/tex], so we'll subtract 3 from 2 to get the new x value: [tex]2 - 3 = -1[/tex], so [tex]C(-1,1)[/tex].

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