Absolutely.
The transversal line is the line that crosses two parallel lines.
Here is a good link:
* http://www.mathopenref.com/transversal.html
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A Transversal angle is a line that intersects a system of lines.
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 never intersect
Then the two lines cut through by transversal line are parallel to each other.
Coplanar lines that do not intersect are called parallel lines.