I really really really need prob 2 and 4 answered first, then 1 and then 3 :P. PLEASE STATE ALL STEPS ONE BY ONE, 1. reason reason reason 1. GIVEN or... vertical angles contrugent, like that.

problem 1: angle E of triangle ZEN is obtuse. The bisector of angle E intersects SEGMENT ZN at X. J and K lie on segment ZE and sgement NE with ZJ=ZX and NK=NX. Discover and prove something about quadrilateral ZNKJ

problem 2: given: Segment FD parallel segment AC, segment BC parallel segment AE, segment FB parallel segment EC

Prove: B, D, and f midpoints of AC, CE, and EA.

[/QUOTE]

problem 3: lengths of the sides of triangle ABC are BC=12, CA= 13, AB= 14. If M is mp of CA and P is point where CA cuts by the bisector of angle B, find the length of MP.

problem 4: PRove Ceva's ThM: If P is any point inside triangle ABC, then AX over XB times BY over YC times CZ over ZA = 1.

(( THESE HINTS ARE NOT GIVEN!!! ONLY THE AUX LINES ARE GIVEN AND YOU MUST STATE THEM.hints: use the aux lines, they are parallel to segment CX... apply triangle proportionality thm to triangle ABM, show that triangle APN is ~ to traingle MPB, traignel BYM ~ triangle CYP and triangle CZP ~ triangle AZN))