Transversals play a role in establishing whether two other lines in the euclidean plane are parallel.
What is alternate interior angles in geometry.
With each pair of alternate interior angles both angles are inside the parallel lines and on opposite alternate sides of the transversal.
Once you can recognize and break apart the various parts of parallel lines with transversals you can use the alternate interior angles theorem to speed up your work.
This basic geometry video tutorial discusses parallel and perpendicular lines in addition to transversals and all the angles that are formed by it such as alternate interior and exterior angles.
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Alternate interior angles theorem.
In the figure above click on other angle pair to visit both pairs of alternate interior angles in turn.
Interior means inside the parallel lines.
There are thus two pairs of these angles.
Consecutive interior angles corresponding angles and alternate angles.
D and e are alternate interior angles.
L a r is an alternate interior angle with a r n i a r is an alternate interior angle with a r o.
The two lines do not have to be parallelfind out how to locate.
In this example these are two pairs of alternate interior angles.
The intersections of a transversal with two lines create various types of pairs of angles.
So there are actually two pairs.
Alternate interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
The angle pairs are on alternate sides of the transversal and they are on.
When two lines are crossed by another line the transversal a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal are called alternate interior angles.
To help you remember.
In geometry a transversal is a line that passes through two lines in the same plane at two distinct points.
In this lesson you will learn how to identify alternate interior angles and how to use the theorem to find missing angles and to solve everyday geometry problems.
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