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If two lines are cut by a transversal so that corresponding angles are congruent?
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 form congruent alternate interior angles?
Parallel lines cut by a transversal form congruent alternate interior angles.
What is a line that intersects two parallel lines?
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
What is a line that intersects parallel lines?
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
What is the converse of parallel lines conjecture?
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.
What is the converse statement of if two parallel lines are cut by a transverse then the alternate angles are congruent?
If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.
What is two lines cut by a transversal so that corresponding angles are congruent then what is the lines?
They are parallel lines
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.
Are alternate exterior angles congruent?
Only if the lines cut by the transversal are parallel.
Are alternate interior angles congruent?
Only if the lines cut by the transversal are parallel.
Corresponding angles formed when parallel lines are intersected by a transversal are congruent?
true
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 what are the lines?
The lines are parallel. When a transversal intersects two lines, corresponding angles, alternate interior angles, and alternate exterior angles are congruent only if the lines are parallel. This is a fundamental property of parallel lines and transversals in geometry.
