Reflect triangle ABC with respect to the x-axis and the y-axis. What are the vertices of triangle A'B'C'?
(1 point)
The reflection of a point about the x-axis simply changes the sign of the y-coordinate, while the reflection about the y-axis changes the sign of the x-coordinate.
The vertices of triangle ABC are A, B, and C. To reflect A about the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate. Therefore, the new coordinates for A' are (1, -4).
To reflect A' about the y-axis, we keep the y-coordinate the same and change the sign of the x-coordinate. Therefore, the new coordinates for A" are (-1, -4).
Similarly, the new coordinates for B' and C' can be found by reflecting B and C about the x-axis and y-axis, respectively.
Therefore, the vertices of triangle A'B'C' are A' (1, -4), B' (-2, -2), and C' (3, -1).