Please answer the following advanced geometry question.

1. Consider the Taxicab Model on R? as defined in class. (See exercises 8.7 & 9.3) (a) Given AB, where A = (1, 0) and B = (2, -1). and ray T, where the ray is given by y = x for x 2 0 (origin point C = (0, 0)). Copy AB to T' by finding point D such that CD ~ AB. (b) Find 3 different triangles in the model: one equilateral, one isosceles, and one scalene. (c) Consider the triangle AABC, where A = (0,0), B = (2,0), and C = (0,1). Find a different triangle in the model that is congruent to AABC. (d) Draw the unit circle in this model. Be sure to label everything appropriately. (e) Show that the congruence axiom (C1) holds in this model. (f) Show that the congruence axiom (C2) holds in this model. (g) Show that the congruence axiom (C3) holds in this model. (h) Show that the congruence axiom (C6) fails in this model by giving a counter-example