https://file.aiquickdraw.com/mathbot/file/17267948960953e8igj7h.jpg

Let's go through the questions from the image and provide solutions:

### Question 9:
Using the figure:

**(a)** **Name the lines that are only in plane Q.**  
The lines that are only in plane Q (highlighted in red) are **line n** and **line q**.

**(b)** **Name the plane containing the lines m and t.**  
The plane containing both lines m and t is the **upper plane** (not labeled, but it's the one parallel to plane Q in the figure).

**(c)** **Name a point that is not coplanar with points A, B, C.**  
Points A, B, and C lie in the upper plane (containing lines m and t). A point not coplanar with them would be from a different plane. Therefore, **point P** (which is in plane Q) is not coplanar with A, B, and C.

**(d)** **Name the points not contained in a line shown.**  
Points that are not on any of the lines are:
- **Point A**
- **Point P**
- **Point M**

**(e)** **Does line n intersect line q? Explain.**  
No, **line n does not intersect line q**. They are in the same plane (plane Q) but are parallel to each other, as they do not cross at any point in the figure.

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Would you like further details or have any questions?

Here are 5 related questions you might consider:
1. How can we determine if two lines are parallel in a three-dimensional space?
2. Can a line be in more than one plane? Under what conditions?
3. How do you define coplanar points in geometry?
4. What is the significance of parallel planes and how do they relate to intersecting lines?
5. How can you determine if two lines in space will intersect, be parallel, or be skew?

**Tip:** When analyzing 3D geometry problems, always check the planes where lines are situated to determine their relationships like intersection or parallelism.

Using the figure, (a) name the lines that are only in plane Q. (b) name the plane containing the lines m and t. (c) name a point that is not coplanar with points A, B, C. (d) name the points not contained in a line shown. (e) does line n intersect line q? Explain.

Explore the relationships between planes, lines, and points in 3D geometry using the provided figure. Learn to identify coplanar points, non-coplanar points, and determine the intersection or parallelism of lines. Suitable for Grades 9-12.

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