Which three points in the figure are collinear? B A F E D M C k в, Е, F А, Е, D В, Е, С O B, F, D

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:**

Which three points in the figure are collinear?

**Diagram Description:**

The diagram is a parallelogram with additional lines and points inside it. Points A, B, C, D, E, F, and M are marked within the figure. Several arrows and dashed lines indicate intersections and extensions.

- **Points**: 
  - A is near the top left.
  - B is above the figure, placed on a vertical dashed line extending through E.
  - C is below the figure on the same vertical dashed line as B, directly underneath E.
  - D is along a line heading towards the bottom left.
  - E is at the intersection of the diagonal of the parallelogram and a vertical line.
  - F is near the top right.
  - M is on the same line as D, extending from B, E, and C.

- **Lines**:
  - Line j is a horizontal arrow extending through D and A.
  - Line k is a vertical arrow through B, E, and C.

**Answer Options:**

- ○ B, E, F
- ○ A, E, D
- ○ B, E, C
- ○ B, F, D

**Correct Answer:**
The points B, E, and C are collinear as they lie on the vertical line k.
Transcribed Image Text:**Question:** Which three points in the figure are collinear? **Diagram Description:** The diagram is a parallelogram with additional lines and points inside it. Points A, B, C, D, E, F, and M are marked within the figure. Several arrows and dashed lines indicate intersections and extensions. - **Points**: - A is near the top left. - B is above the figure, placed on a vertical dashed line extending through E. - C is below the figure on the same vertical dashed line as B, directly underneath E. - D is along a line heading towards the bottom left. - E is at the intersection of the diagonal of the parallelogram and a vertical line. - F is near the top right. - M is on the same line as D, extending from B, E, and C. - **Lines**: - Line j is a horizontal arrow extending through D and A. - Line k is a vertical arrow through B, E, and C. **Answer Options:** - ○ B, E, F - ○ A, E, D - ○ B, E, C - ○ B, F, D **Correct Answer:** The points B, E, and C are collinear as they lie on the vertical line k.
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