Skew lines are not coplanar and do not intersect.
Parallel lines run in the same direction and are not coincident.
Intersecting lines intersect at one point.
Example Solution:
Pair of Lines
Classification
Reason
BD and EG
Skew lines
The lines are not coplanar and do not intersect.
BD and FH
Parallel lines
The lines run in the same direction and are not coincident.
FH and EG
Intersecting lines
The lines intersect at one point.
Practice makes perfect
Let's first draw all of the lines from exploration 2.
Next, we will arbitrarily add three more lines that are different from the existing ones.
We have three more lines:
BD, EG, FH
Let's go through the lines one at a time and classify them.
Pair of Lines
Classification
Reason
BD and EG
Skew lines
The lines are not coplanar and do not intersect.
BD and FH
Parallel lines
The lines run in the same direction and are not coincident.
