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
![**Educational Exercise: Calculating the Midpoint**
*Problem Statement:*
Find the midpoint of the segment with the following endpoints.
\[
(3, 10) \quad \text{and} \quad (8, 6)
\]
*Instructions:*
Enter your answer in the provided box and click the "Submit Answer" button.
**Solution Guide:**
To find the midpoint of a line segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\), use the following formula:
\[
\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Proceed with these steps:
1. Identify the coordinates of the endpoints:
\[
(x_1, y_1) = (3, 10), \quad (x_2, y_2) = (8, 6)
\]
2. Plug the coordinates into the midpoint formula:
\[
\left( \frac{3 + 8}{2}, \frac{10 + 6}{2} \right)
\]
3. Perform the calculations:
\[
\left( \frac{3 + 8}{2}, \frac{10 + 6}{2} \right) = \left( \frac{11}{2}, \frac{16}{2} \right) = (5.5, 8)
\]
4. Therefore, the midpoint is:
\[
(5.5, 8)
\]
**Answer Submission:**
Type the calculated midpoint \( (5.5, 8) \) in the answer box and click the "Submit Answer" button to verify your solution.
*Note:*
This process can be applied to determine the midpoint of any line segment when the coordinates of its endpoints are known.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ff600a3-85e0-4452-b324-74a8447b9bf4%2Fbbc4b606-f7ef-44a4-8f86-0a6e2d325bea%2Fgdx4rpu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Exercise: Calculating the Midpoint**
*Problem Statement:*
Find the midpoint of the segment with the following endpoints.
\[
(3, 10) \quad \text{and} \quad (8, 6)
\]
*Instructions:*
Enter your answer in the provided box and click the "Submit Answer" button.
**Solution Guide:**
To find the midpoint of a line segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\), use the following formula:
\[
\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Proceed with these steps:
1. Identify the coordinates of the endpoints:
\[
(x_1, y_1) = (3, 10), \quad (x_2, y_2) = (8, 6)
\]
2. Plug the coordinates into the midpoint formula:
\[
\left( \frac{3 + 8}{2}, \frac{10 + 6}{2} \right)
\]
3. Perform the calculations:
\[
\left( \frac{3 + 8}{2}, \frac{10 + 6}{2} \right) = \left( \frac{11}{2}, \frac{16}{2} \right) = (5.5, 8)
\]
4. Therefore, the midpoint is:
\[
(5.5, 8)
\]
**Answer Submission:**
Type the calculated midpoint \( (5.5, 8) \) in the answer box and click the "Submit Answer" button to verify your solution.
*Note:*
This process can be applied to determine the midpoint of any line segment when the coordinates of its endpoints are known.
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