So in the figure below if k l then 2 8 and 3 5.

Alternate interior angles postulate.
Use the corresponding angles converse postulate.
Use the alternate interior angles converse theorem.
Find out why close.
Terms in this set 15 postulate 3 1 corresponding angles postulate.
Prove the alternate interior angles theorem.
Geometry postulates and theorems.
Because these lines are parallel the theorem tells us that the alternate interior angles are congruent.
Use the diagram below in the following exercise.
If a transversal intersects two parallel lines then corresponding angles are congruent.
L and m are parallel lines given ml is congruent to the m3 corresponding angles postulate m3 us congruent with m2 vertical angles postulate m1 is congruent with m2 transitive property.
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The alternate interior angles theorem states if two parallel lines are cut by a transversal then the pairs of alternate interior angles are congruent.
Alternate interior angle theorem the alternate interior angles theorem states that when two parallel lines are cut by a transversal the resulting alternate interior angles are congruent.
Use the consecutive interior angles converse theorem.
Corresponding angles postulate and alternate interior angles theorem keith mann.
Alternate interior angles alternate exterior angles relationships of various types of paired angles proof of the alternate interior angle theorem proof of the converse of the alternate interior angle theorem proof of the alternate exterior angle theorem proof of the converse of the alternate exterior angle theorem examples and step by.
Looking at the illustration above the two teal colored lines are parallel to each other.
If a transversal intersects two parallel lines.
Alternate interior angles theorem.
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.
How would you show that the lines f and g are parallel.
The converse of the alternate interior angles theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent then the lines are parallel.
Theorem 3 1 alternate interior angles theorem.
If two lines cut a transversal are parallel then alternate interior angles are congruent.
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