The vertices of ∆ABC are A (-2,4), B(-2,3), and C(-5, 2). If ∆ABC is reflected across the line y=-2 to produce the image ∆A’B’C, find the coordinates of the vertex A’ if ∆ABC is reflected across the line x= 1

Question

The vertices of ∆ABC are A (-2,4), B(-2,3), and C(-5, 2). If ∆ABC is reflected across the line y=-2 to produce the image ∆A’B’C, find the coordinates of the vertex A’ if ∆ABC is reflected across the line x= 1
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oobleck · Answer

the x-coordinate will not change (-2,4) is 3 units above the line x=1 (1+3 = 4) So A' will be 3 units below the line. 1-3 = -2, so A' = (-2,-2)