There are 56 pairs of congruent angles.
If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.
They are parallel lines
Its diagonals are congruent. One set of parallel sides. The other two non parallel lines are congruent.
A trapezoid!
There are 56 pairs of congruent angles.
If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.
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.
Parallel
They are parallel lines
Its diagonals are congruent. One set of parallel sides. The other two non parallel lines are congruent.
A trapezoid!
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.
congruent
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
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.
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.