No. Angles are not congruent. (Triangles may be congruent.)
Providing that the two lines are parallel then they are called corresponding angles.
corresponding and alternate angles
Alternate Interior Angles
They are angles formed by the transversal line cutting through parallel lines
They are angles that lie on the same side of the transversal outside the lines named.
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.
Corresponding angles.
when two lines are cut by a transversal so that the corresponding angles are congruent, the the lines are parallel
They are parallel lines
true
false
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.
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.
Given two lines cut by a transversal, if corresponding angles are congruent, then the lines are parallel.
false
Given two lines cut by a transversal, if corresponding angles are congruent, then the lines are parallel.
Yes, corresponding angles are always congruent when a transversal intersects two parallel lines. This means that the angles in matching corners (one on each line) are equal in measure. However, if the lines are not parallel, corresponding angles may not be congruent. Thus, the congruence of corresponding angles is contingent upon the parallelism of the lines involved.