Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section3.7: Graphing Absolute Value Functions
Problem 50E
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Question
(Note: This is a placeholder for an educational website and should include a proper path to the image referencing the actual diagram.)
**Diagram Details:**
- A circle is shown with two line segments, AB and BC, tangential to the circle.
- Point A is the point where segment AB starts, and it touches the circle at point B.
- Point C is the point where segment BC starts, and segment BC also touches the circle at point B.
- The length of segment AB is given as 5 units.
**Problem Statement:**
Segments AB and BC are both tangent to the circle shown above. What is the length of segment BC? (Note: The provided diagram is not necessarily to scale.)
**Answer Choices:**
- ( ) 2.5
- ( ) 5
- ( ) 10
- ( ) 25
**Explanation:**
In geometry, when two tangent segments are drawn to a circle from the same external point, they are congruent (have the same length). Hence, the length of segment BC is equal to the length of segment AB, which is 5 units. Thus, the correct answer is:
- (•) 5
**References:**
Additional resources and detailed concepts regarding tangent segments and circle geometry can be found in the "Circles and Tangents" section of our Geometry course.
**Previous**
Use the "Previous" button to go back to the preceding topic or problem in the course module.
---
For further exploration, please check out the interactive exercises available on our platform to solidify your understanding of tangents and other circle-related properties.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08fa00cd-36fc-4f5f-9d6c-7d7606f87c03%2F0c4fe0a7-2be0-49b7-94d7-37867df0f6b4%2Fpd264bt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Geometry Problem: Tangent Segments
Consider the diagram below:
(Note: This is a placeholder for an educational website and should include a proper path to the image referencing the actual diagram.)
**Diagram Details:**
- A circle is shown with two line segments, AB and BC, tangential to the circle.
- Point A is the point where segment AB starts, and it touches the circle at point B.
- Point C is the point where segment BC starts, and segment BC also touches the circle at point B.
- The length of segment AB is given as 5 units.
**Problem Statement:**
Segments AB and BC are both tangent to the circle shown above. What is the length of segment BC? (Note: The provided diagram is not necessarily to scale.)
**Answer Choices:**
- ( ) 2.5
- ( ) 5
- ( ) 10
- ( ) 25
**Explanation:**
In geometry, when two tangent segments are drawn to a circle from the same external point, they are congruent (have the same length). Hence, the length of segment BC is equal to the length of segment AB, which is 5 units. Thus, the correct answer is:
- (•) 5
**References:**
Additional resources and detailed concepts regarding tangent segments and circle geometry can be found in the "Circles and Tangents" section of our Geometry course.
**Previous**
Use the "Previous" button to go back to the preceding topic or problem in the course module.
---
For further exploration, please check out the interactive exercises available on our platform to solidify your understanding of tangents and other circle-related properties.
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