Question

Reflect triangle ABC with respect to the x-axis and the y-axis. What are the vertices of triangle A′B′C′? (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To reflect triangle ABC with respect to the x-axis, we reverse the sign of the y-coordinates. To reflect triangle ABC with respect to the y-axis, we reverse the sign of the x-coordinates.

So, the vertices of triangle A'B'C' would be:
- The x-coordinate of A'B'C' would be the same as the x-coordinate of ABC. The y-coordinate would be the negative of the y-coordinate of ABC.
- The y-coordinate of A'B'C' would be the same as the y-coordinate of ABC. The x-coordinate would be the negative of the x-coordinate of ABC.

Therefore, the vertices of triangle A'B'C' are:

A': (-A, B)
B': (-B, A)
C': (-C, -B)

Note that the negative signs are due to reflecting with respect to the y-axis (x-coordinate) and the x-axis (y-coordinate).