Question

Which statement is true? Please help

Answer 1

Answer:

D is correct.

Step-by-step explanation:

According to euclidean geometry we can draw one line per point of space that is parallel to another line. Also we know that in a triangle if we draw a line that connects the two middle points of two sides of the triangle, this line is parallel to the third side of the triangle. (This is a theorem so we already have a line parallel to ML for sure)

Which means that a line that connects the middle of LK (18/2 = 9) and the middle of MK(17/2=8.5) would be parallel to ML. However NO is indeed in the middle of LK but not in the middle of MK. If NO was parallel to ML then we would have two lines parallel to ML which would contradict the axiom of euclidean geometry that we said in the beginning.

Since we proved that NO isnt parallel to ML it is obvious that MLK and NOK are not same triangles(because they cannot have equal angles). So we discard sentences A,B and C while we proved that D is right.