Corresponding angles.
If two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is the transversal postulate. So the answer is the lines would be parallel. This means that the statement is true.
Parallel lines cut by a transversal form congruent alternate interior angles.
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel.
If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.
The lines are parallel. The only time you will see correpsonding, alternate interior, and alternate exterior angles is with a parallel transversal line.
They are parallel lines
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.
true
Only if the lines cut by the transversal are parallel.
Only if the lines cut by the transversal are parallel.