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Q: Angles that lie outside of two parallel lines that are crossed by a transversal line?
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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.


When two parallel lines are cut by a transversal angles are supplementary?

When Two parallel lines are cut by the transversal, __________ angles are supplementary


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.


If 2 parallel lines are cut by a transversal alternate interior angles are what?

When 2 parallel lines are cut by a transversal some of the pairs of angles which are formed are called alternate angles whereas other pairs are called interior angles.


What are corrosponding angles?

Corresponding angles are equal and are created when a transversal line cuts through parallel lines

Related questions

Do all corresponding angles measure the same?

No. Corresponding angles are only equal when the lines crossed by the transversal are parallel.


What is alternate exterior angles in math terms?

Alternate Exterior Angles are created where a transversal crosses two (usually parallel) lines. Each pair of these angles are outside the parallel lines, and on opposite sides of the transversal.


What does alternate exterior angle mean?

When two parallel lines are cut by a transversal, the two pairs of angles on opposite sides of the transversal and outside the parallel lines, and the angles in each pair are congruent.


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.


What are transversal angles?

I think it is when there are 2 parallel lines, then the lines which cut both is called transversal.so, the angles which are between one side of the transversal and a parallel line must be called a transversal angles.


What would happen if a transversal crossed 2 lines that were not parallel?

You would get a set of angles whose interrelationships would be more complex.


Why do corresponding angles always have to be the same?

They don't always. When two lines are crossed by another line (called the transversal) the angles in matching corners are called corresponding angles. If the two lines being crossed are parallel lines, then (and only then) the corresponding angles are equal.


When two parallel lines are cut by a transversal angles are supplementary?

When Two parallel lines are cut by the transversal, __________ angles are supplementary


What are transversal and corresponding angles?

A transversal line cuts through parallel lines forming equal corresponding angles


Why do corresponding angles always have the same measurement?

They don't always. When two lines are crossed by another line (called the transversal) the angles in matching corners are called corresponding angles. If the two lines being crossed are parallel lines, then (and only then) the corresponding angles are equal.


How many angles to transversal parallel lines are there?

When a transversal line cuts through parallel lines various angles are created such as equal corresponding angles and equal alternate angles as well as other types of 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.