How to find the endpoints of a line segment - GRE Quantitative Reasoning

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Question

There is a line defined by two end-points, and . The midpoint between these two points is . What is the value of the point ?

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Answer

Recall that to find the midpoint of two points and , you use the equation:

.

(It is just like finding the average of the two points, really.)

So, for our equation, we know the following:

You merely need to solve each coordinate for its respective value.

Then, for the y-coordinate:

Therefore, our other point is:

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