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Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question

Select the correct graph of the point (3,2,-1) in the 3D coordinate system 

The image displays four 3D coordinate graphs labeled A, B, C, and D, each depicting a different point in space with colored directional lines indicating position. Below is a detailed description of each graph:

### Graph A:
- **Axes Orientation**: 
  - X-axis runs horizontally from -5 to 5.
  - Y-axis runs horizontally from -5 to 5.
  - Z-axis runs vertically from -5 to 5.
- **Point Details**:
  - The point is marked at coordinates \( (-3, 2, -1) \).
  - The pathway to the point is shown with colored dashed lines:
    - A green line extends along the x-axis to -3.
    - A blue line extends along the y-axis to 2.
    - A red line extends along the z-axis to -1.

### Graph B:
- **Axes Orientation**:
  - X-axis runs horizontally from -5 to 5.
  - Y-axis runs horizontally from -5 to 5.
  - Z-axis runs vertically from -5 to 5.
- **Point Details**:
  - The point is located at coordinates \( (-3, 2, 4) \).
  - The path consists of:
    - A vertical red line from the x-y plane, moving to positive 4 on the z-axis.
    - A green line along the x-axis to -3.
    - A blue line along the y-axis to 2.

### Graph C:
- **Axes Orientation**:
  - X-axis runs horizontally from -5 to 5.
  - Y-axis runs horizontally from -5 to 5.
  - Z-axis runs vertically from -5 to 5.
- **Point Details**:
  - The point is situated at coordinates \( (-3, 2, 1) \).
  - The path has:
    - A green line along the x-axis to -3.
    - A blue line along the y-axis to 2.
    - A red line vertically to 1.

### Graph D:
- **Axes Orientation**:
  - X-axis runs horizontally from -5 to 5.
  - Y-axis runs horizontally from -5 to 5.
  - Z-axis runs vertically from -5 to 5.
- **Point Details**:
  - The point is located at coordinates \( (3, 2, -3) \).
  - The path
Transcribed Image Text:The image displays four 3D coordinate graphs labeled A, B, C, and D, each depicting a different point in space with colored directional lines indicating position. Below is a detailed description of each graph: ### Graph A: - **Axes Orientation**: - X-axis runs horizontally from -5 to 5. - Y-axis runs horizontally from -5 to 5. - Z-axis runs vertically from -5 to 5. - **Point Details**: - The point is marked at coordinates \( (-3, 2, -1) \). - The pathway to the point is shown with colored dashed lines: - A green line extends along the x-axis to -3. - A blue line extends along the y-axis to 2. - A red line extends along the z-axis to -1. ### Graph B: - **Axes Orientation**: - X-axis runs horizontally from -5 to 5. - Y-axis runs horizontally from -5 to 5. - Z-axis runs vertically from -5 to 5. - **Point Details**: - The point is located at coordinates \( (-3, 2, 4) \). - The path consists of: - A vertical red line from the x-y plane, moving to positive 4 on the z-axis. - A green line along the x-axis to -3. - A blue line along the y-axis to 2. ### Graph C: - **Axes Orientation**: - X-axis runs horizontally from -5 to 5. - Y-axis runs horizontally from -5 to 5. - Z-axis runs vertically from -5 to 5. - **Point Details**: - The point is situated at coordinates \( (-3, 2, 1) \). - The path has: - A green line along the x-axis to -3. - A blue line along the y-axis to 2. - A red line vertically to 1. ### Graph D: - **Axes Orientation**: - X-axis runs horizontally from -5 to 5. - Y-axis runs horizontally from -5 to 5. - Z-axis runs vertically from -5 to 5. - **Point Details**: - The point is located at coordinates \( (3, 2, -3) \). - The path
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