PA-28R Cherokee Arrow All Series
Flight Crew Instrument
Flight Crew Last 90 Days 15; Flight Crew Total 900
Communication Breakdown; Situational Awareness; Distraction
Conflict NMAC; Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural FAR
Airport; Human Factors; Procedure
Given RNAV XX approach. Changed to visual approach when near final approach fix. Changed to advisory frequency and called entering downwind leg for Runway XY as wind was now favoring XY. Glider called entering downwind for Runway XX. After doing so; he passed opposite direction to me at same altitude about 100 feet laterally.  He then proceeded to land on XX. I continued downwind; base and final for XY and landed while watching for the glider landing on the intersecting runway. I passed the intersection of XY and XX just as he touched down on XX. Due to the stress of the near midair; I did not close my IFR flight plan until after I had parked the aircraft. This delayed a departing business jet on an IFR flight plan. Having fixed wing and gliders using intersecting runways seems dangerous with the amount of jet traffic into ZZZ.  I should have closed my IFR flight plan immediately after landing. I do not usually close my IFR flight plan in the air as problems can arise (like a midair!) in the traffic pattern. The glider did not show up on my ADS-B traffic alert nor was it mentioned by ATC. I suspect it had no transponder so it would not show up on TCAS either.
A pilot on a visual approach to a non-towered airport reported a NMAC with a glider. The reporter did not close out their IFR flight plan in a timely manner causing a delay for another aircraft awaiting departure approval.