https://file.aiquickdraw.com/mathbot/file/1730307722450dyv8h5hj.jpg

Let's examine each question and answer based on the diagram provided:

### 2a. Name a segment perpendicular to **DE**.
- The segment **DE** has a dotted line pointing downwards that looks like it intersects **DE** at a right angle. This indicates perpendicularity. Thus, **CE** is perpendicular to **DE**.

**Answer:** **CE**

### 2b. Name a segment parallel to **BE**.
- The segment **BE** appears to run horizontally in the diagram. Another segment, **DF**, also runs horizontally and doesn't intersect **BE**. Therefore, **DF** is parallel to **BE**.

**Answer:** **DF**

### 2c. Name a segment skew to **DF**.
- Skew lines are lines that are not parallel and do not intersect, existing in different planes. From the diagram, **AD** is neither parallel to nor intersects **DF**, so it is skew to **DF**.

**Answer:** **AD**

Let me know if you would like more details or have any questions. Here are some related questions for further exploration:

1. What is the difference between parallel and perpendicular lines?
2. How can you identify skew lines in 3D space?
3. What are some real-life examples of parallel, perpendicular, and skew lines?
4. How would you use coordinate geometry to prove that two lines are parallel or perpendicular?
5. What are the properties of perpendicular bisectors in triangles?

**Tip:** When identifying skew lines, remember that they are only possible in 3D space; in 2D diagrams, lines are either parallel, intersecting, or overlapping.

Given the figure shown, identify the following: a. Name a segment perpendicular to DE. b. Name a segment parallel to BE. c. Name a segment skew to DF.

Learn how to identify parallel, perpendicular, and skew lines in geometry with a detailed example problem. This problem involves recognizing segments that are perpendicular, parallel, or skew to a given line segment, suitable for students in Grades 6-8.

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