Prove that there exists an isometry P in Isom(H^2) such that P(A)=B

Question

Where A and B are ideal triangles in H^2 (upper sheet of hyperboloid). How do I get started with this proof?

To get started, you need to have some supply of isometries of $H^2$. — , Dec 03 '15 at 23:46
Well all of the isometries of H^2 can be written as a matrix in O^+(1,2), right? — John.P, Dec 04 '15 at 07:43

score 0 · Answer 1 · answered Dec 06 '15 at 11:16

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Given this, the tags and information given with the question are quite lacking.

HINT

All ideal triangles are congruent to each other.

answered Dec 06 '15 at 11:16

Irregular User

1 Answers1