Question

If you know the midpoint of a line segment, is it possible to determine the length of the line segment? Explain.

Name: Problem 124, Chapter 10: Intermediate Algebra for College Students
Uploaded: 2021-07-14T01:11:30-08:00
Duration: 1 min 2 s
Channel: Erika Bustos
Description: If you know the midpoint of a line segment, is it possible to determine the length of the line segment? Explain.

    If you know the midpoint of a line segment, is it possible to determine the length of the line segment? Explain.

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 10, Problem 124

Instant Answer

Solved by Expert Erika Bustos

07/14/2021

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If you know the midpoint of a line segment, is it possible to determine the length of the line segment? Explain.

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Key Concepts

Midpoint

The midpoint of a line segment is a point that divides the segment into two equal parts. It is determined by averaging the coordinates of the endpoints in a coordinate system, reflecting the idea of symmetry but not revealing the specific endpoints themselves.

Line Segment Length

The length of a line segment is the distance between its two endpoints. While the midpoint tells us the balance point of the segment, it does not inherently provide any information about the total distance between the endpoints.

Insufficient Information

Knowing only the midpoint of a line segment does not determine its length because there are infinitely many segments that can share the same midpoint. Without additional details about the positions of the endpoints or another defining property, the exact length remains undetermined.

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