Intermediate Geometry : How to find the endpoints of a line segment

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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Example Question #51 : Midpoint Formula

A line segment on the coordinate plane has an endpoint at ; its midpoint is at .

True or false: Its other endpoint is located at .

Possible Answers:

False

True

Correct answer:

True

Explanation:

The midpoint of a line segment with endpoints  and  is located at .

Therefore, set

 and 

In the first equation, set   and solve for :

Multiply both sides by 2:

Subtract 3.8 from both sides:

In the second equation, set   and solve for :

Multiply both sides by 2:

Add 1.7 to both sides:

The other endpoint is indeed at , so the statement is true.

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