Answer:
The new points to the triangle will be:
[tex]A(-6, 6)\\B(-6, 3)\\C(-8, 3)[/tex]
Step-by-step explanation:
Because the reflection point is at [tex]x = -1[/tex], all x values will subtract their distances from [tex]x = -1[/tex] to get their new values. The y values remain the same.
The starting values are:
[tex]A(4,6)\\B(4,3)\\C(6,3)[/tex]
Point [tex]A[/tex] is 5 units away from [tex]x = -1[/tex], so we'll subtract 5 from -1 to get the new x value: [tex]-1 - 5 = -6[/tex], so [tex]A(-6, 6)[/tex].
Point [tex]B[/tex] is also 5 unit away from [tex]x = -1[/tex], so we'll subtract 5 from -1 to get the new x value: [tex]-1 - 5 = -6[/tex], so [tex]B(-6, 3)[/tex].
Point [tex]C[/tex] is 7 units away from [tex]x = -1[/tex], so we'll subtract 7 from -1 to get the new x value: [tex]-1 - 7 = -8[/tex], so [tex]C(-8, 3)[/tex].
