Use this image to classify each pair of lines.

Two horizontal lines Q R and S T are intersected by two vertical lines Q S and R T. A ninety degree angle is formed by Q S and S T. A transversal crosses through point S and point R.

Select Parallel, Perpendicular, or Cannot Be Determined to classify each pair of lines.

Parallel	Perpendicular	Cannot Be Determined
QR←→ and ST←→

​ST←→​ and ​QS←→​

RT←→ and QR←→

QS←→ and RT←→

Let's analyze the given lines and classify them as **Parallel**, **Perpendicular**, or **Cannot Be Determined**.

### 1. **QR and ST**
- **Lines QR and ST are described as horizontal lines**.
- Since they are both horizontal, they are parallel to each other.

**Classification: Parallel**

### 2. **ST and QS**
- **ST is horizontal**, and **QS is vertical**.
- Since one is horizontal and the other is vertical, they are perpendicular to each other.

**Classification: Perpendicular**

### 3. **RT and QR**
- **RT is vertical**, and **QR is horizontal**.
- Since one is vertical and the other is horizontal, they are perpendicular to each other.

**Classification: Perpendicular**

### 4. **QS and RT**
- Both **QS and RT are vertical lines**.
- Since they are both vertical, they are parallel to each other.

**Classification: Parallel**

If you have any questions or want more details, feel free to ask!

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### Related Questions:
1. What is the significance of perpendicular lines in coordinate geometry?
2. How do you prove two lines are parallel using algebraic methods?
3. What are the properties of a transversal in relation to parallel lines?
4. Can two lines be both parallel and perpendicular in Euclidean geometry?
5. How do you determine the slope of a line given two points?
6. What are the key differences between horizontal and vertical lines in geometry?
7. How can you calculate the angle between two intersecting lines?
8. What role do perpendicular bisectors play in triangle geometry?

**Tip:** When identifying perpendicular lines, remember that they meet at a 90-degree angle, regardless of their orientation.

Learn how to classify pairs of lines as parallel, perpendicular, or indeterminate using geometric principles. This problem involves intersecting horizontal and vertical lines, forming angles and using transversals. Suitable for high school students studying geometry.

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