Question

Reflect triangle ABC with respect to the x-axis and y-axis. What are the vertices of triangle A’B’C’?

Answer 1

To reflect a triangle with respect to the x-axis, we simply change the signs of the y-coordinates of the vertices.

Given triangle ABC with vertices A(x1, y1), B(x2, y2), and C(x3, y3), the reflected triangle A'B'C' will have vertices A'(x1, -y1), B'(x2, -y2), and C'(x3, -y3).

To reflect a triangle with respect to the y-axis, we change the signs of the x-coordinates of the vertices.

So, the reflected triangle A'B'C' with respect to both the x-axis and y-axis will have vertices A'(-x1, -y1), B'(-x2, -y2), and C'(-x3, -y3).