GRE Math : How to find the midpoint of a line segment
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Example Questions
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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