To determine which statements are true given that lines PO and RS are coplanar and do not intersect, we analyze each statement individually:
A. PO and RS are parallel
- True: If two lines are coplanar and do not intersect, they must be parallel.
B. PORS
- False: This statement appears to be incomplete or incorrectly stated. It does not convey any meaningful geometric relationship or property.
C. PO and RS are coplanar
- True: By the problem statement itself, we know that lines PO and RS are coplanar.
D. PO and RS do not intersect
- True: Again, by the problem statement, we are given that PO and RS do not intersect.
E. PO and RS intersect at a single point
- False: This contradicts the statement that PO and RS do not intersect.
F. POIRS
- False: Similar to statement B, this statement appears to be incomplete or incorrect.
Therefore, the true statements are:
1. PO and RS are parallel (Statement A)
2. PO and RS are coplanar (Statement C)
3. PO and RS do not intersect (Statement D)
These are the correct and true statements within the context given.
