Question: I am struggling with these two problems. This is for a graduate level geometry class. I do not have very much experience working on the
I am struggling with these two problems. This is for a graduate level geometry class. I do not have very much experience working on the taxicab plane and would appreciate some help.
7. Suppose we decide to define congruence in the following way: Segment AB is congruent to segment CD if the taxicab distance between A and B is the same as the taxicab distance between C and D.Exhibit a pair of triangles and a correspondence between their vertices for which SSS fails.Do the same for ASA.
8.Exhibit a triangle in the taxicab plane in which two angles are congruent but the sides opposite those angles are not congruent.(Hint: technology, such as geogebra, may assist with this one).
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