2004-27.md

course	course_year	question_number	tags	title	year
Geometry	IB	27	IB 2004 Geometry	1.II.14G	2004

Show that for every hyperbolic line $L$ in the hyperbolic plane $H$ there is an isometry of $H$ which is the identity on $L$ but not on all of $H$. Call it the reflection $R_{L}$.

Show that every isometry of $H$ is a composition of reflections.