1. (10 points) You may assume that the hyperbolic parallel postulate holds for this problem. Let AABC be a triangle and let D, E, F be the midpoints of the sides BC, AC, and AB, respectively. (a) Justify why AEDC is not similar to AABC. (b) Prove that the congruences AF ED, AE FD and BD - EF cannot all hold. 1. (10 points) You may assume that the hyperbolic parallel postulate holds for this problem. Let AABC be a triangle and let D, E, F be the midpoints of the sides BC, AC, and AB, respectively. (a) Justify why AEDC is not similar to AABC. (b) Prove that the congruences AF ED, AE FD and BD - EF cannot all hold