The Parallel Postulate and The Alternate Interior Angles Theorem
Ceva's Theorem and The Parallel Postulate
The Alternate Interior Angles Theorem and Ceva's Theorem
No, because we only can find two angles.
Yes, because we can find two parallel lines.
Yes, because the triangles look similar.
The midpoint of each side of the triangle
The intersection point of each angle bisector and its opposite side
The foot of each altitude
Here's an interesting quiz for you.