https://file.aiquickdraw.com/mathbot/file/17285717170862k8j2qvt.jpg

Name the line that is perpendicular to line QP

In the given image, we are working with a rectangular prism (box-like figure), and we need to find the line that is perpendicular to line **QP**.

Looking closely at the points and lines, the line **QP** lies on the face of the prism formed by points **Q, U, V, P** (the base face). To identify a line perpendicular to **QP**, we should look for a line that forms a right angle with **QP**.

From the image, we observe that:
- Line **QP** lies horizontally on the base.
- The vertical lines in the prism, such as **QT** and **QU**, are perpendicular to lines in the base face.

Thus, the line **QT** is perpendicular to line **QP**, because **QT** is a vertical line and **QP** is a horizontal line, forming a right angle at point **Q**.

### Answer:
The line **QT** is perpendicular to line **QP**.

Would you like more details or have any other questions? 

Here are 5 related questions you might want to explore:
1. What is the relationship between line **QT** and other lines such as **QR** or **QS**?
2. Can we identify any other lines perpendicular to **QP** besides **QT**?
3. What are the parallel lines to **QP** in the prism?
4. How would you calculate the length of line **QT** if the dimensions of the prism were given?
5. How can we determine which lines are skew in this figure?

**Tip:** To determine perpendicularity in 3D shapes, always look for lines that form right angles and belong to different planes, such as vertical versus horizontal lines.

Name the line that is perpendicular to line QP.

In this geometry problem, we explore the perpendicularity of lines in a 3D rectangular prism. Specifically, we examine which line is perpendicular to line QP, concluding that line QT forms a right angle with QP. This is a fundamental concept in 3D geometry and is suitable for students in Grades 6-8.

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