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Those are "alternate interior" angles. They're always equal.
Alternate and interior angles are created between parallel lines when a transversal line cuts through them.
No.
Wrong statement. Parallel lines don't always make vertical angles without the transversal, the line that passes through these lines. Without the transversal, we can't make the conclusion that parallel lines form vertical angles.
A transversal line that cuts through parallel lines creates corresponding angles that are equal but can vary in sizes
Congruent
yes because they will always equal 180 degrees, regardless of the angle at which the transversal intersects the two parallel lines
Those are "alternate interior" angles. They're always equal.
Alternate and interior angles are created between parallel lines when a transversal line cuts through them.
Yes. "Alternate interior" angles are always interior. Angles that are not interior as well as alternate are never accurately described as "alternate interior" angles.
They are always equal on the transversal line that cuts through parallel lines
The corresponding and alternate angles
Yes, a transversal line always intersects two parallel lines.
They are always coplanar in Euclidean geometry.
No.
[ ] Always [x] Sometimes [] Never
Wrong statement. Parallel lines don't always make vertical angles without the transversal, the line that passes through these lines. Without the transversal, we can't make the conclusion that parallel lines form vertical angles.