3. Which of the following are considered skew lines? (1 point)
O AC and CD
O DH and BF
O EG and FH
O AE and GH
Skew lines are lines that do not intersect and are not parallel.
Out of the given options, DH and BF are considered skew lines because they do not intersect and are not parallel.
To determine which of the given pairs of lines are considered skew lines, we need to understand what skew lines are. Skew lines are two lines in three-dimensional space that do not intersect and are not parallel. In other words, they do not lie on the same plane and do not share any common points.
We can visualize each pair of lines to see if they fit this definition.
1. AC and CD:
To determine if AC and CD are skew lines, we need to see if they are neither parallel nor intersecting. However, without any additional information about their positions in space, we cannot determine their relationship.
2. DH and BF:
Again, without any more information about their positions, we cannot determine if DH and BF are skew lines.
3. EG and FH:
Similarly, we need more information to determine if EG and FH are skew lines.
4. AE and GH:
Just like the previous cases, without any additional information, we cannot determine if AE and GH are skew lines.
Without any additional details or geometric context, we cannot determine which pairs of lines are skew lines from the given options.
To determine which pairs of lines are considered skew lines, we need to check if the lines are non-intersecting and not parallel. Skew lines are lines that are not in the same plane and do not intersect.
Let's analyze the given pairs of lines:
Pair 1: AC and CD
Pair 2: DH and BF
Pair 3: EG and FH
Pair 4: AE and GH
Based on the given information, we cannot determine if any of these pairs are skew lines. We would need more information about the geometric relationships between these pairs of lines in order to answer this question definitively.