Question

When triangle XYZ is rotated 180 degrees around vertex Z, what happens to the new coordinates?

a) The new coordinates remain the same as the original coordinates.
b) The new coordinates are mirrored across the y-axis.
c) The new coordinates are mirrored across the x-axis.
d) The new coordinates undergo a 180-degree rotation around vertex Z.

Answer 1

When triangle XYZ is rotated 180 degrees around vertex Z, the new coordinates undergo a 180-degree rotation around vertex Z.

Step-by-step explanation:

When triangle XYZ is rotated 180 degrees around vertex Z, the new coordinates undergo a 180-degree rotation around vertex Z. This means that the new coordinates will be the same distance from the vertex, but will be on the opposite side of the vertex compared to the original coordinates. The x and y values of the new coordinates will have the opposite signs of the original coordinates.