F 18 6. Imagine there is a line segment AD, and a line segment BF. If the measure of angle DAB is 60 degrees, what is the measure of angle DFB? A. 54 deg B. 167 deg C. 135 deg D. 175 deg E. 30 deg F. 120 deg 7. If angle EMA is 95 degrees, what is the measure of angle BME? A. 85 deg B. 25 deg C. 56 deg D. 34 deg E. 75 deg 8. If I drew a line segment from A to C, and the radius of circle M was 1, what would line segment AC be? A. 47 B. 2 F.43 9. If the diameter of circle M is 12, what would the length of Ml be? A. 12 8.8 C. 27 D. 6 E. 2 F.9 10. If imaginary triangle DJE were a 30-60-90 triangle, with angle EDJ as the 30 degree angle, and chord DF had a length of 18, what would the length of line segment DE be? A. 5 B. 8 C. 27 D. 8 (3) E. 10

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 Geometry Problems with a Circle Diagram

#### Diagram Explanation

In the provided diagram, a circle is depicted with several key points and lines marked:

- **Points:** A, B, C, D, E, F, G, H, and M.
- **Line Segments:** AD, BF
- **Angles:** DAB, DFB, EMA, BME, AC, MI, DJE

#### Problems and Multiple Choice Questions

**Problem 6:** 
Imagine there is a line segment AD and a line segment BF. If the measure of angle DAB is 60 degrees, what is the measure of angle DFB?
- A. 54 deg
- B. 167 deg
- C. 135 deg
- D. 175 deg
- E. 30 deg
- F. 120 deg

**Problem 7:**
If angle EMA is 95 degrees, what is the measure of angle BME?
- A. 85 deg
- B. 25 deg
- C. 56 deg
- D. 34 deg
- E. 75 deg
- F. 48 deg

**Problem 8:**
If I drew a line segment from A to C, and the radius of circle M was 1, what would line segment AC be?
- A. 1
- B. √2
- C. 2
- D. √13
- E. 4
- F. √3

**Problem 9:**
If the diameter of circle M is 12, what would the length of MI be?
- A. 12
- B. 2
- C. 27
- D. 6
- E. 2
- F. 10

**Problem 10:**
If imaginary triangle DJE were a 30-60-90 triangle, with angle EDJ as the 30 degree angle, and chord DF had a length of 18, what would the length of line segment DE be?
- A. 9
- B. 4
- C. 27
- D. 6√3
- E. 10
- F. 12

Use this diagram and problems for practice to understand angles, segments, and geometric properties associated with circles.
Transcribed Image Text:### Educational Geometry Problems with a Circle Diagram #### Diagram Explanation In the provided diagram, a circle is depicted with several key points and lines marked: - **Points:** A, B, C, D, E, F, G, H, and M. - **Line Segments:** AD, BF - **Angles:** DAB, DFB, EMA, BME, AC, MI, DJE #### Problems and Multiple Choice Questions **Problem 6:** Imagine there is a line segment AD and a line segment BF. If the measure of angle DAB is 60 degrees, what is the measure of angle DFB? - A. 54 deg - B. 167 deg - C. 135 deg - D. 175 deg - E. 30 deg - F. 120 deg **Problem 7:** If angle EMA is 95 degrees, what is the measure of angle BME? - A. 85 deg - B. 25 deg - C. 56 deg - D. 34 deg - E. 75 deg - F. 48 deg **Problem 8:** If I drew a line segment from A to C, and the radius of circle M was 1, what would line segment AC be? - A. 1 - B. √2 - C. 2 - D. √13 - E. 4 - F. √3 **Problem 9:** If the diameter of circle M is 12, what would the length of MI be? - A. 12 - B. 2 - C. 27 - D. 6 - E. 2 - F. 10 **Problem 10:** If imaginary triangle DJE were a 30-60-90 triangle, with angle EDJ as the 30 degree angle, and chord DF had a length of 18, what would the length of line segment DE be? - A. 9 - B. 4 - C. 27 - D. 6√3 - E. 10 - F. 12 Use this diagram and problems for practice to understand angles, segments, and geometric properties associated with circles.
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