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ASA Exploration Hyperbolic Geometry

ASA Triangle Condition Exploration in Hyperbolic Geometry

Manipulate the sliders and/or input boxes to select the measurements for two angles and the length of the included side. Slowly slide the Step slider one step at a time to see the construction unfold. No matter what we pick for these three measurements, there is always such a triangle possible. (Because of the quirks of the construction, some positions may make the figure disappear.) If two triangles have two pair of corresponding congruent angles, and the corresponding included sides are also congruent (ASA Condition), then do the triangle have to be congruent?