GRE Math : Midpoint Formula
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Example Questions
Example Question #1 : Midpoint Formula
There is a line defined by two end-points, 
Recall that to find the midpoint of two points 
(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:
Example Question #2 : Midpoint Formula
There is a line defined by two end-points, 
Recall that to find the midpoint of two points 
(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:
Example Question #2 : Midpoint Formula
What is the other endpoint of a line segment with one point that is 
Recall that the midpoint formula is like finding the average of the 
For our points, we are looking for 
We can solve for each of these coordinates separately:
X-Coordinate
Y-Coordinate:
Therefore, our point is
Example Question #261 : Geometry
What is the other endpoint of a line segment with one point that is 
What is the other endpoint of a line segment with one point that is 
Recall that the midpoint formula is like finding the average of the 
For our points, we are looking for 
We can solve for each of these coordinates separately:
X-Coordinate
Y-Coordinate:
Therefore, our point is
Example Question #1 : Midpoint Formula
What is the midpoint of (2, 5) and (14, 18)?
(1, 2.5)
(–10, –13)
(8, 11.5)
(7, 9)
(16, 23)
(8, 11.5)
The midpoint between two given points is found by solving for the average of each of the correlative coordinates of the given points. That is:
Midpoint = ( (2 + 14)/2 , (18 + 5)/2) = (16/2, 23/2) = (8, 11.5)
Example Question #3 : Midpoint Formula
What is the midpoint between the points (1,3,7) and (–3,1,3)?
(2,–1,5)
(–1,2,5)
(2,2,5)
(3,1,2)
(5,2,4)
(–1,2,5)
To find the midpoint, we add up the corresponding coordinates and divide by 2.
[1 + –3] / 2 = –1
[3 + 1] / 2 = 2
[7 + 3] / 2 = 5
Then the midpoint is (–1,2,5).
Example Question #2 : Midpoint Formula
A line which cuts another line segment into two equal parts is called a ___________.
midpoint
horizontal line
parallel line
bisector
transversal
bisector
This is the definition of a bisector.
A midpoint is the point on a line that divides it into two equal parts. The bisector cuts the line at the midpoint, but the midpoint is not a line.
A transversal is a line that cuts across two or more lines that are usually parallel.
Parallel line and horizontal line don't make sense as answer choices here. The answer is bisector.
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