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Q: Are three lines coplanar when there is a transversal of two lines?
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What are Lines which intersect two or more coplanar lines?

transversal


What is These are lines which intersect two or more coplanar lines?

a transversal


When there is a transversal of two lines the three lines are coplanar?

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.


A line that intersects two or more coplanar lines?

A transversal.


Is two lines that are transversal always never or sometimes coplanar?

They are always coplanar in Euclidean geometry.


When two coplanar lines are cut by transversal the angles between the two lines on opposite sides of the transversal are called what?

Alternate Interior Angles


A line that intersects two coplanar lines at two different points?

Transversal


Are two lines with a transversal coplanar?

Usually, a transversal is a line that intersects two (or more) parallel lines. In that case the lines and the transversal are coplanar. However, a transversal does not have to intersect parallel lines. And in that case, the lines need not be coplanar. Here's one way to visualise the latter situation. Stand in a cuboid room. Line one = the edge joining the wall opposite you to the ceiling. Line two = the edge joining the wall on your right to the floor. Transvesal = the edge joining the opposite wall to the wall on your right. The transversal meets both the two lines but lines 1 and 2 are not coplanar.


A line that intersects two coplanar lines at two distinct points is called what?

transversal


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?

corresponding angles


How many Alternate interior angles are formed when the transversal cuts two coplanar lines?

Two pairs of alternate opposite angles


Is it true that if two lines are crossed by a transversal the two lines are parallel?

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.