Question #9b3f6

1 Answer
Nov 2, 2017

First statement is False.
Second statement is True.
Third statement is True.


A transversal line is characterized by passing through two lines in the same plane or in other words, parallel .

Let's look at the first statement. We just learned that a transversal line has to pass through a parallel line. But Skew lines by definition are in two different planes and are not parallel, so the line passing through them cannot be transversal.

The second one is self-explanatory. Parallel lines are in the same plane and do not intersect.

The third statement is correct, because now we have a line passing through two parallel lines, and that is the exact definition of transversal lines.

Now let's look at some examples:

First, transversal lines:


Now let's look at two parallel lines:

Lastly, let's see an example of two skew lines:
As you can see the two lines with arrows are in different planes, therefore they are skew.
Notice how if you had a line along H-E, then that line would be parallel to the B-A line. in the same way, B-F line would be parallel to H-G line.

Hope this helped (c: