Two lines that are not coplanar and do not intersect. a.) Transversal b.) Skew Lines c.) Intersecting Lines d.) Parallel Lines A line which intersects two coplanar lines at two different points. a.) Transversal b.) Skew Lines c.) Intersecting Lines d.) Parallel Lines
The Correct Answer and Explanation is:
The correct answers to your questions are:
- Two lines that are not coplanar and do not intersect:
- Answer: b.) Skew Lines
Skew lines are two lines that are not parallel, are not coplanar, and do not intersect. This means that they lie in different planes, so no matter how far extended they are, they will never meet. For example, think of two rails on a train track that are on different levels—they are not parallel and do not meet, making them skew lines. - A line which intersects two coplanar lines at two different points:
- Answer: a.) Transversal
A transversal is a line that intersects two or more lines in the same plane at different points. It creates several angles at the points of intersection, and it is often used in geometric proofs and theorems. A typical example of a transversal is a line crossing two parallel lines, resulting in alternate interior, alternate exterior, and corresponding angles.
The key difference between these two terms lies in their relationship to the plane and how they interact with each other. Skew lines are non-intersecting and non-coplanar, while a transversal specifically intersects two coplanar lines.
