I was doing a problem and I ran into this triangle:
The problem itself is not that important for this question, but rather the explanation of the problem:
We can see that the upper line bisects two of the sides of the triangle on the left. This tells us that the line is parallel to the line that forms the base of the triangle.
However, I can picture line p being able to bisect the triangle into two 6.4 sides and not give a set of parallel lines. Is this a theorem I can research or am I missing something to reach the conclusion a line bisector creates a set of parallel lines?
It also explained
A line parallel to one side of a triangle divides the other two proportionally.
Is this also another theorem?