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
Related questions
Question
![### Find the Midpoint of a Line Segment
**Problem Statement:**
Find the midpoint of the segment with the following endpoints:
(4, 3) and (9, 10)
**Instructions:**
1. Identify the coordinates of the endpoints of the segment. In this case, the endpoints are (4, 3) and (9, 10).
2. Use the midpoint formula to find the midpoint. The midpoint \( M \) of a segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
3. Plug in the given coordinates into the formula.
**Step-by-Step Solution:**
- Given endpoints: \((4, 3)\) and \((9, 10)\)
- Apply the midpoint formula:
\[
M = \left( \frac{4 + 9}{2}, \frac{3 + 10}{2} \right) = \left( \frac{13}{2}, \frac{13}{2} \right)
\]
- Simplify:
\[
M = \left( 6.5, 6.5 \right)
\]
**Answer:**
- The midpoint of the segment with endpoints (4, 3) and (9, 10) is \((6.5, 6.5)\).
**Interactive Feature:**
After solving, enter your answer in the input box below and click "Submit Answer" to check your solution.
**Answer:**
<input type="text" id="midpoint-answer" placeholder="Enter your answer here" />
<button onclick="checkAnswer()">Submit Answer</button>
**Additional Notes:**
- Ensure to review the solution process carefully.
- Utilize the provided "Watch help video" option if you need further assistance understanding the problem.
---
**Footer:**
- Privacy Policy | Terms of Service
- Copyright © 2021 DeltaMath.com. All Rights Reserved.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dbb3c05-f975-45a9-a3e2-49b97e92b9d6%2F660f0e51-de5b-46a3-a0fe-4be993ede704%2Fetjqqu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Find the Midpoint of a Line Segment
**Problem Statement:**
Find the midpoint of the segment with the following endpoints:
(4, 3) and (9, 10)
**Instructions:**
1. Identify the coordinates of the endpoints of the segment. In this case, the endpoints are (4, 3) and (9, 10).
2. Use the midpoint formula to find the midpoint. The midpoint \( M \) of a segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
3. Plug in the given coordinates into the formula.
**Step-by-Step Solution:**
- Given endpoints: \((4, 3)\) and \((9, 10)\)
- Apply the midpoint formula:
\[
M = \left( \frac{4 + 9}{2}, \frac{3 + 10}{2} \right) = \left( \frac{13}{2}, \frac{13}{2} \right)
\]
- Simplify:
\[
M = \left( 6.5, 6.5 \right)
\]
**Answer:**
- The midpoint of the segment with endpoints (4, 3) and (9, 10) is \((6.5, 6.5)\).
**Interactive Feature:**
After solving, enter your answer in the input box below and click "Submit Answer" to check your solution.
**Answer:**
<input type="text" id="midpoint-answer" placeholder="Enter your answer here" />
<button onclick="checkAnswer()">Submit Answer</button>
**Additional Notes:**
- Ensure to review the solution process carefully.
- Utilize the provided "Watch help video" option if you need further assistance understanding the problem.
---
**Footer:**
- Privacy Policy | Terms of Service
- Copyright © 2021 DeltaMath.com. All Rights Reserved.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning