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Find the midpoint of the segment that has endpoints at (3, 10) and (9, 24). O (6, 24) O (6, 17) O (12, 17) O (9, 15)

Find the midpoint of the segment that has endpoints at (3, 10) and (9, 24). O (6, 24) O (6, 17) O (12, 17) O (9, 15)

Elementary Geometry For College Students, 7e
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
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**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)**.
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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