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 the segment with endpoints at (3, 10) and (9, 24).**
Options:
- (6, 24)
- (6, 17)
- (12, 17)
- (9, 15)
*Explanation*: To find the midpoint `(x, y)` of a line segment with endpoints `(x₁, y₁)` and `(x₂, y₂)`, use the formula:
\[
\left( \frac{x₁ + x₂}{2}, \frac{y₁ + y₂}{2} \right)
\]
For the given points `(3, 10)` and `(9, 24)`, the midpoint is:
\[
\left( \frac{3 + 9}{2}, \frac{10 + 24}{2} \right) = (6, 17)
\]
Thus, the correct answer is **(6, 17)**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd19b4802-11e7-4204-a565-1b60d34ef8ff%2Fb12adbaa-5ba2-4be7-bbec-f317edbacda2%2Frbu97je_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Find the midpoint of the segment with endpoints at (3, 10) and (9, 24).**
Options:
- (6, 24)
- (6, 17)
- (12, 17)
- (9, 15)
*Explanation*: To find the midpoint `(x, y)` of a line segment with endpoints `(x₁, y₁)` and `(x₂, y₂)`, use the formula:
\[
\left( \frac{x₁ + x₂}{2}, \frac{y₁ + y₂}{2} \right)
\]
For the given points `(3, 10)` and `(9, 24)`, the midpoint is:
\[
\left( \frac{3 + 9}{2}, \frac{10 + 24}{2} \right) = (6, 17)
\]
Thus, the correct answer is **(6, 17)**.
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