Question

In which coordinate plane does Triangle PQR lie?

A) XY-plane
B) XZ-plane
C) YZ-plane
D) None of the above

Answer 1

Triangle PQR can lie in the XY-plane, XZ-plane, YZ-plane, or none of the above depending on the orientation of its sides.

Step-by-step explanation:

In order to determine the coordinate plane in which Triangle PQR lies, we need to consider the orientation of the triangle's sides. A triangle lies in the XY-plane if all of its sides are parallel to the x-axis and y-axis. It lies in the XZ-plane if all of its sides are parallel to the x-axis and z-axis, and it lies in the YZ-plane if all of its sides are parallel to the y-axis and z-axis. If none of these conditions are met, then Triangle PQR does not lie in any of the given coordinate planes.