Midpoint Formula - GRE Quantitative Reasoning
Card 0 of 7
There is a line defined by two end-points, 
and 
. The midpoint between these two points is 
. What is the value of the point 
?
There is a line defined by two end-points,
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: 
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:
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There is a line defined by two end-points, 
and 
. The midpoint between these two points is 
. What is the value of the point 
?
There is a line defined by two end-points,
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: 
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:
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What is the other endpoint of a line segment with one point that is 
and a midpoint of 
?
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 
and 
values for two points. For two points 
and 
, it is:
For our points, we are looking for 
. We know:
We can solve for each of these coordinates separately:
X-Coordinate
Y-Coordinate:
Therefore, our point 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
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What is the other endpoint of a line segment with one point that is 
and a midpoint of 
?
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 
and a midpoint of 
?
Recall that the midpoint formula is like finding the average of the 
and 
values for two points. For two points 
and 
, it is:
For our points, we are looking for 
. We know:
We can solve for each of these coordinates separately:
X-Coordinate
Y-Coordinate:
Therefore, our point 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
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What is the midpoint of (2, 5) and (14, 18)?
What is the midpoint of (2, 5) and (14, 18)?
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)
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)
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What is the midpoint between the points (1,3,7) and (–3,1,3)?
What is the midpoint between the points (1,3,7) and (–3,1,3)?
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).
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).
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A line which cuts another line segment into two equal parts is called a ___________.
A line which cuts another line segment into two equal parts is called a ___________.
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.
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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