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When a transversal line cuts through parallel lines it creates equal alernate angles and equal corresponding angles

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Q: What is an alternate interior angles theorem?
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Alternate interior angle theorem?

Theorem 9.1:[Alternate Interior Angle Theorem] If two lines cut by a transversal have a pair of congruent alternate interior angles, then the two lines are non-intersecting.


which of these correctly fills in the blank 3 in the paragraph proof of the converse of the alternate interior angles theorem?

A+


Which theorem guarantees that lines are parallel in the following construction?

3.1 or alternate interior angles ....then the lines are parallel


Are the alternate interior angles of two parallel lines cut by a transveral always interior?

Yes. "Alternate interior" angles are always interior. Angles that are not interior as well as alternate are never accurately described as "alternate interior" angles.


What are two pairs of alternate interior angles?

They are 4 alternate interior angles.


which of these correctly fills in blank 2 in the paragraph proof of the converse of the alternate interior angles theorem?

transitive property of congruence


Are alternate angles congruent?

Yes. Alternate interior and alternate exterior angles are congruent.


What types of angles are equal?

alternate interior and alternate exterior angles


What is meant by alternate Interior angles?

Alternate interior angles are equal on a transversal that passes through parallel lines.


Why are alternate interior angles and alternate exterior angles both called alternate?

Both alternate interior and alternate exterior angle pairs lie on opposite sides of the transversal.


Two interior angles on opposite sides of a transversal?

Alternate interior angles.


Nonadjacent interior angles that lie on opposite sides of the transversal?

Alternate Interior Angles