SAS Exploration Hyperbolic Geometry

SAS Exploration in Hyperbolic Geometry
In this activity we are examining the SAS condition in Hyperbolic Geometry. [br][br]Adjust the lengths of the two sides and the measure of the included angle via the sliders and/or input boxes.[br][br]Slowly slide the step slider one step at a time to see the construction unfold. Experiment by moving the orange points A and B, and experiment with different values for the given measurements.[br][br]Is there any condition on the measurements that would make the triangle impossible to construct?[br][br]If a triangle exists, how many differently shaped triangles (congruence classes) can we form with a specific set of given measurements?[br][br]If two triangles have two pair of corresponding congruent sides, and the corresponding included angles are congruent (SAS Condition), then do the two triangles have to be congruent in Hyperbolic Geometry?

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