Below is an applet with drawing tools for the Poincaré Disk model of
hyperbolic geometry.
(Be patient; the applet takes a few seconds to load.)
Use the "disk" menu (tool menu furthest to the right) to access the tools
of hyperbolic geometry in this model.
Use the File menu (upper right) to download an image of your work.
(You can also save your work as a .ggb file that you can use with other
installations of installation
of GeoGebra.)
Acknowledgment: The underlying applet Poincare2.ggb was found online in 2016, authorship unknown; its presentation (only) was modified by TD in 2022.