I'm taking a euclidean and plane geometry course and the bibliography given to us is scarce. The course covers the next topics:
Trigonometry
Coordinate systems
Inversion in a circle
Poles and polars
Extension of the plane
Transformations of the plane
Would you recommend me books that covers such topics? It's important to mention that the course is mostly proof-based
Probably the most used book by students-contestants nowdays is EGMO of Evan Chen:
https://web.evanchen.cc/geombook.html
It covers all topics you mentioned and more.