Why are AC and BD perpendicular to m?? This is in hyperbolic geometry and we wer

Question

Why are AC and BD perpendicular to m?? This is in hyperbolic geometry and we were given this definition with the illustration but I don't understand why are they necessarily perpendicular? Definition: Two lines t and m are hyperparallel lines if they are equidistant at two locations. Two lines l and m are said to be equidistant at two locations if there are two points A and B on one of them, say on t, such that the distance from A to m and the distance from B to m are equal Lines l and m are Hyperparallel.

Explanation / Answer

In hyperbolic geometry, distance is always considered as the intersection of normal with the line and as always a normal is perpendicular to the given line, AC and BD are perpendicular to m.

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