https://file.aiquickdraw.com/mathbot/file/1726629933507gqtlvpg9.jpg

Let's break down and answer the questions from the worksheet based on the provided figures.

### Part 1: Using the figure to the right
#### a. **What are two other ways to name \( \overrightarrow{EF} \)?**
- \( \overrightarrow{FE} \) is not valid because rays are directed.
- Another valid name for \( \overrightarrow{EF} \) could be extended using points on the same ray, like \( \overrightarrow{EB} \), if point B is on that ray.

#### b. **What are two other ways to name plane \( C \)?**
- Planes can be named by any three non-collinear points on the plane. 
- Two other ways to name the plane could be **plane GFE** or **plane GEB** using three points that lie on the plane.

#### c. **Name three collinear points.**
- Collinear points are points that lie on the same straight line. From the diagram, three collinear points could be **A, B, and C**.

#### d. **Name four coplanar points.**
- Coplanar points lie on the same plane. In the diagram, points **E, F, G, B** are coplanar.

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### Part 2: Using the figure to the right
#### a. **Name 6 segments in the figure.**
- Segments are straight lines connecting two points. The six segments could be:
  - \( AB \)
  - \( BC \)
  - \( CD \)
  - \( EF \)
  - \( EB \)
  - \( FB \)

#### b. **Name 6 different rays.**
- Different rays originating from different points:
  - \( \overrightarrow{BA} \)
  - \( \overrightarrow{BC} \)
  - \( \overrightarrow{CB} \)
  - \( \overrightarrow{EF} \)
  - \( \overrightarrow{BE} \)
  - \( \overrightarrow{BF} \)

#### c. **Name a pair of opposite rays with endpoint \( B \).**
- A pair of opposite rays with endpoint \( B \) would be **\( \overrightarrow{BA} \)** and **\( \overrightarrow{BC} \)**, as they extend in opposite directions from the same point.

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### Part 3: Using the figure to the right
#### a. **Name the intersection of planes \( QRS \) and \( RSW \).**
- The intersection of two planes is a line. The planes \( QRS \) and \( RSW \) intersect along line **RS**.

#### b. **Are points \( V, R, S \) collinear?**
- No, the points **V, R, S** are not collinear because they do not lie on the same straight line in the 3D space shown.

#### c. **Are points \( V, R, S \) coplanar?**
- Yes, points **V, R, S** are coplanar because they all lie on plane **RSW**.

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Would you like further details or explanations on any of these? Here are five additional questions to consider:

1. How can you distinguish between collinear and coplanar points?
2. How would the intersection of two planes change if they were parallel?
3. Can three rays with a common endpoint form a plane? Why or why not?
4. What is the difference between a segment and a ray in terms of their definitions?
5. How can you use opposite rays to define a straight line?

**Tip**: When naming planes, remember that any three non-collinear points determine a unique plane.

Geometry Review Packet with questions about naming rays, planes, and points based on a figure.

This review packet focuses on identifying rays, planes, and points from 3D geometric figures. Learn how to name segments, identify collinear and coplanar points, and understand plane intersections. Suitable for high school geometry students in Grades 9-10.

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