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Is it true that if two lines are crossed by a transversal the two lines are parallel?
A transversal is simply any line that passes through two or more coplanar lines each at different points. So picture, if you will, two lines that are clearly not parallel. I can easily construct a transversal that passes through them. HOWEVER, if two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is called the transversal postulate. If the corresponding angles are congruent, than the lines are parallel. This is the converse of the first postulate. So, the answer to your question is NO, unless the corresponding angles are congruent.
Does a rectangle have parallel lines?
no parallel lines
What is the function of parallel lines?
parallel lines are diagonal lines or increasing lines
Skew lines and parallel lines exactly the same?
Skew lines are not parallel. Parallel lines are across from each other in some way and are exactly parallel.
Which conjecture justifies the construction of a line parallel to a given line through a given point?
Euclid's parallel postulate.
