QUESTION IMAGE
Question
intersecting lines are coplanar. options: never, sometimes, always
Step1: Recall the definition of coplanar lines
Coplanar lines are lines that lie on the same plane.
Step2: Analyze intersecting lines
If two lines intersect, they share a common point. By the postulate of plane geometry, any two intersecting lines determine a unique plane. That is, there is exactly one plane that contains both of the intersecting lines. So, intersecting lines must lie on the same plane, meaning they are always coplanar.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
always