The vertices of ∆ABC are A (-2,5), B(-2,4), and C(-5, 3). 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= -2.

Y’all do realize the the answer is a coordinate.

To find the coordinates of the vertex A' if ∆ABC is reflected across the line x=-2, we need to use the concept of reflection.

When a point is reflected across a vertical line, the x-coordinate of the point remains the same, while the sign of the y-coordinate changes.

Given that the coordinates of point A in ∆ABC are (-2,5), reflecting it across the line x=-2 will keep the x-coordinate the same (-2) and change the sign of the y-coordinate. Therefore, the coordinates of A' will be (-2, -5).

So, the coordinates of the vertex A' are (-2, -5).

so, which is it - y = -2, or x = -2?

Y=-2

The vertices of ΔABC are A(−3,5)​, B(−2,2)​, and C(−5,2). If ΔABC is reflected across the line y=−2 to produce the image Δ​A'B'C', find the coordinates of the vertex A​'.