Question

What will the (x, y, z) coordinates turn into after C2(z) and then C4(x) operations?

a) (x, -y, z)
b) (-x, -y, z)
c) (x, -y, -z)

Answer 1

To find the (x, y, z) coordinates after the C2(z) and C4(x) operations, you need to reflect the point across the z-axis and then across the x-axis. The final coordinates will be (-x, y, -z).

Step-by-step explanation:

To find the (x, y, z) coordinates after the C2(z) and C4(x) operations, we need to apply the operations in the given order.

1. C2(z): This operation reflects the point across the z-axis. So, if the original point is (x, y, z), after this operation, it will become (x, y, -z).

2. C4(x): This operation reflects the point across the x-axis. So, if the point after the C2(z) operation is (x, y, -z), after this operation, it will become (-x, y, -z).

Therefore, the final coordinates after the operations C2(z) and C4(x) are (-x, y, -z).