How to find the midpoint of a line segment
GRE Quantitative Reasoning · Learn by Concept
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GRE Quantitative Reasoning › How to find the midpoint of a line segment
What is the midpoint of (2, 5) and (14, 18)?
(16, 23)
(–10, –13)
(7, 9)
(1, 2.5)
(8, 11.5)
Explanation
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)
A line which cuts another line segment into two equal parts is called a ___________.
bisector
midpoint
transversal
parallel line
horizontal line
Explanation
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.
What is the midpoint between the points (1,3,7) and (–3,1,3)?
(2,2,5)
(–1,2,5)
(3,1,2)
(2,–1,5)
(5,2,4)
Explanation
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).