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Because when a transversal line cuts through parallel lines it creates vertical opposite equal angles.

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Q: Why is alternate interior angles similar to corresponding angles?
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Related questions

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. The only time you will see correpsonding, alternate interior, and alternate exterior angles is with a parallel transversal line.


What angle relationships created when lines are cut by transversal?

1. Alternate Interior Angles 2. Alternate Exterior Angles 3. Corresponding Angles 4. Same-Side Interior Angles 5. Same-Side Exterior Angles


What are z and c and f and x angles called?

z: alternate interior angles c: consecutive interior angles f: corresponding angles x: vertically opposite angles


What are necessary when proving that the opposite sides of a parallelogram are congruent?

A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent


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 is an alternate interior angles theorem?

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


What are two pairs of alternate interior angles?

They are 4 alternate interior angles.


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 letter do corresponding angles form?

F for corresponding angles and Z for alternate angles


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 can you conclude about the interior angles formed two parllel lines are cut by a transversal?

That the corresponding angles are equal and that the alternate angles are equal and that angles on a straight line add up to 180 degrees.