Exercises 7 and 8, use the diagram. 7. Tell how many common tangents the circles have and draw them. 8. Tell whether each common tangent identified in Exercise 7 is internal or external. 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
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### Mathematics Exercises on Common Tangents
#### Exercise 7:
**Instruction**: Tell how many common tangents the circles have and draw them.

#### Exercise 8:
**Instruction**: Tell whether each common tangent identified in Exercise 7 is internal or external.

### Diagram Explanation:
The provided diagram includes two intersecting circles. Each circle has one distinct point of intersection with the other, leading to two points of intersection in total.

**Graph Details**:
- Two intersecting circles are shown.
- Both circles intersect at two points.

Students are required to determine the number of common tangents that can be drawn between the two circles based on their points of intersection. Additionally, they need to specify whether each tangent is an internal tangent (tangent to the inner part of the circles) or an external tangent (tangent to the outer part of the circles). 

This exercise helps in understanding concepts related to circles and tangents, enhancing spatial awareness and geometric problem-solving skills.
Transcribed Image Text:### Mathematics Exercises on Common Tangents #### Exercise 7: **Instruction**: Tell how many common tangents the circles have and draw them. #### Exercise 8: **Instruction**: Tell whether each common tangent identified in Exercise 7 is internal or external. ### Diagram Explanation: The provided diagram includes two intersecting circles. Each circle has one distinct point of intersection with the other, leading to two points of intersection in total. **Graph Details**: - Two intersecting circles are shown. - Both circles intersect at two points. Students are required to determine the number of common tangents that can be drawn between the two circles based on their points of intersection. Additionally, they need to specify whether each tangent is an internal tangent (tangent to the inner part of the circles) or an external tangent (tangent to the outer part of the circles). This exercise helps in understanding concepts related to circles and tangents, enhancing spatial awareness and geometric problem-solving skills.
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