https://file.aiquickdraw.com/mathbot/file/1728764933977vk1rmkl6.jpg

Let's analyze the question and the diagram you've uploaded.

The question asks:  
**"State the postulate that can be used to show each statement is true."**  
Specifically, the statement in the image says: **"EF lies in plane Q."**

Given the multiple-choice answers and your clarification that **option A (2.2) is not correct**, we should explore the other choices. Let's break down the choices in terms of geometry postulates:

- **Option A (Postulate 2.2)**: Two points determine a line.  
- **Option B (Postulate 2.4)**: A plane contains at least three non-collinear points.  
- **Option C (Postulate 2.5)**: If two points lie in a plane, then the line containing them lies in the plane.  
- **Option D (Postulate 2.7)**: If two planes intersect, then their intersection is a line.

### Correct Answer:
For the statement "EF lies in plane Q," we are dealing with two points, E and F, that lie in the plane. Since line EF is determined by these two points, the correct postulate is **Postulate 2.5**:  
**If two points lie in a plane, then the line containing them lies in the plane.**  
Thus, the correct answer is **C (Postulate 2.5)**.

Would you like a more detailed explanation or have any additional questions?

### Related Questions:
1. How is a plane defined using points in geometry?
2. What postulate is used to prove that a line intersects a plane at a point?
3. How can we demonstrate that three points are non-collinear?
4. What is the difference between a line segment and a line in terms of geometric postulates?
5. How do two planes intersect in three-dimensional space?

**Tip:** Remember, when working with planes, knowing how points and lines interact within them is key to understanding their properties.

EF lies in plane Q. State the postulate that can be used to show the statement is true.

Learn how to identify the correct geometric postulate that proves a line lies within a plane. This problem focuses on planes, lines, and their interactions, suitable for students in Grades 8-10.

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