1. We want to find another name for the ray XY.
firstly you need to locate another point on the same straight line as X and Y.
On the diagram point R lies on the same straight line as X and Y.
Then we will name a ray using point R and point X or Y that is in the same direction as ray XY.
So, we have ray XR and ray RY.
XR and RY are on the same line as XY and are pointed to to the same direction as XY.
Therefore, the two other names for XY is XR and RY
2.Opposite rays are a pair of two rays on the same line that shares a common endpoint and pointing to opposite direction.
An example of opposite rays on the diagram are;
Ray RY and Ray RX