How to find the endpoints of a line segment - GRE Quantitative Reasoning
Card 0 of 32
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, and
. The midpoint between these two points is
. What is the value of the point
?
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 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:
Compare your answer with the correct one above
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, and
. The midpoint between these two points is
. What is the value of the point
?
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 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:
Compare your answer with the correct one above
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 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 
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
Compare your answer with the correct one above
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 and a midpoint of
?
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 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
Compare your answer with the correct one above
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, and
. The midpoint between these two points is
. What is the value of the point
?
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 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:
Compare your answer with the correct one above
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, and
. The midpoint between these two points is
. What is the value of the point
?
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 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:
Compare your answer with the correct one above
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 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 
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
Compare your answer with the correct one above
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 and a midpoint of
?
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 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
Compare your answer with the correct one above
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, and
. The midpoint between these two points is
. What is the value of the point
?
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 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:
Compare your answer with the correct one above
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, and
. The midpoint between these two points is
. What is the value of the point
?
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 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:
Compare your answer with the correct one above
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 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 
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
Compare your answer with the correct one above
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 and a midpoint of
?
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 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
Compare your answer with the correct one above
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, and
. The midpoint between these two points is
. What is the value of the point
?
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 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:
Compare your answer with the correct one above
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, and
. The midpoint between these two points is
. What is the value of the point
?
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 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:
Compare your answer with the correct one above
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 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 
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
Compare your answer with the correct one above
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 and a midpoint of
?
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 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
Compare your answer with the correct one above
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, and
. The midpoint between these two points is
. What is the value of the point
?
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 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:
Compare your answer with the correct one above
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, and
. The midpoint between these two points is
. What is the value of the point
?
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 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:
Compare your answer with the correct one above
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 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 
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
Compare your answer with the correct one above
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 and a midpoint of
?
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 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
Compare your answer with the correct one above