Question

Reflect square ABCD with respect to the z-axis and the y-axis. What are the vertices of square A' B'C' D'?

(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

When reflecting square ABCD with respect to the z-axis, the vertices are transformed as follows:

- A becomes A' = (-1, -1, 1)
- B becomes B' = (-1, 1, 1)
- C becomes C' = (1, 1, 1)
- D becomes D' = (1, -1, 1)

When reflecting square ABCD with respect to the y-axis, the vertices are transformed as follows:
- A becomes A' = (-1, 1, 1)
- B becomes B' = (-1, -1, 1)
- C becomes C' = (1, -1, 1)
- D becomes D' = (1, 1, 1)

Therefore, the vertices of square A' B'C' D' after reflection are:
A' = (-1, -1, 1)
B' = (-1, 1, 1)
C' = (1, 1, 1)
D' = (1, -1, 1)