G GE D. Using the diagram, name 3 rays with a common endpoint. O EF O ZHEF OED O DF D FH

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
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### Educational Content on Rays in Geometry

#### Diagram Explanation:
The diagram provided is a geometric representation of a plane with points labeled as D, E, F, G, and H. This plane is depicted in blue and shows several points and lines:

- **Plane DEFG:** The quadrilateral making up the main plane.
- **Lines and Points:** Points D, E, F, and G lie on the plane, with point E at the center intersecting other lines.
- **Perpendicular Line to the Plane:** Point H appears above the plane, connected by a dashed line suggesting perpendicularity to the plane passing through point E.

#### Exercise:
**Using the diagram, name 3 rays with a common endpoint.**

Options provided:
1. \( \overrightarrow{EF} \)
2. \( \angle HEF \)
3. \( \overrightarrow{ED} \)
4. \( \overrightarrow{DF} \)
5. \( \overrightarrow{EH} \)

##### Correct Answer:
The correct rays that have a common endpoint, which is point E, are:
- \( \overrightarrow{EF} \)
- \( \overrightarrow{ED} \)
- \( \overrightarrow{EH} \)

These rays all start from point E and extend towards points F, D, and H respectively. This illustrates how multiple rays can originate from a single point, demonstrating the concept of rays in geometry.
Transcribed Image Text:### Educational Content on Rays in Geometry #### Diagram Explanation: The diagram provided is a geometric representation of a plane with points labeled as D, E, F, G, and H. This plane is depicted in blue and shows several points and lines: - **Plane DEFG:** The quadrilateral making up the main plane. - **Lines and Points:** Points D, E, F, and G lie on the plane, with point E at the center intersecting other lines. - **Perpendicular Line to the Plane:** Point H appears above the plane, connected by a dashed line suggesting perpendicularity to the plane passing through point E. #### Exercise: **Using the diagram, name 3 rays with a common endpoint.** Options provided: 1. \( \overrightarrow{EF} \) 2. \( \angle HEF \) 3. \( \overrightarrow{ED} \) 4. \( \overrightarrow{DF} \) 5. \( \overrightarrow{EH} \) ##### Correct Answer: The correct rays that have a common endpoint, which is point E, are: - \( \overrightarrow{EF} \) - \( \overrightarrow{ED} \) - \( \overrightarrow{EH} \) These rays all start from point E and extend towards points F, D, and H respectively. This illustrates how multiple rays can originate from a single point, demonstrating the concept of rays in geometry.
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