Q: When wo coplanar lines are cut by a transversal two angles that are in similar positions on the same side of the transversal are called?

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Corresponding

Two pairs of alternate opposite angles

corresponding angles

Angles that are separated by a distance. For example, any two angles of any polygon do not intersect and they are coplanar.

Parallel lines can have a line crossing both of them. They call that the transversal. Corresponding angles are on the same side of the transversal. Alternate are on opposite sides of the transversal.

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Corresponding

Alternate Interior Angles

Two pairs of alternate opposite angles

corresponding angles

I believe those would be corresponding angles?

Providing that the two lines are parallel then they are called corresponding angles.

A transversal is simply any line that passes through two or more coplanar lines each at different points. So picture, if you will, two lines that are clearly not parallel. I can easily construct a transversal that passes through them. HOWEVER, if two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is called the transversal postulate. If the corresponding angles are congruent, than the lines are parallel. This is the converse of the first postulate. So, the answer to your question is NO, unless the corresponding angles are congruent.

Normally, yes. A transversal contemplates crossing two (normally parallel) lines in conversations about two dimensional space and the relationship of certain angles. If you are talking about three dimensions, all bets are off. Two skewed lines in three dimensional space could would have a line that connects them but none of them would be coplanar.

Yes, the opposite rays of vertical angles are always coplanar, so the angles are as well.

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

Angles that are separated by a distance. For example, any two angles of any polygon do not intersect and they are coplanar.

A pair of parallel lines with a transversal will have the following pairs of angles. Alternate , Corresponding, Allied internal, allied external and Vertically Opposite. Unfortunately I cannot draw a diagram on this site in order to show you the positions of these angle - pairs.