All GED Math Resources
Example Questions
Example Question #3 : Midpoint Formula
You are given points
and . is the midpoint of , is the midpoint of , and is the midpoint of . Give the coordinates of .
Repeated application of the midpoint formula,
, yields the following:is the point and is the point . is the midpoint of , so has coordinates
, or .
is the midpoint of , so has coordinates
, or .
is the midpoint of , so has coordinates
, or .
Example Question #4 : Midpoint Formula
What is the midpoint between
and ?
Write the formula to find the midpoint.
Substitute the points into the equation.
The midpoint is located at:
The answer is:
Example Question #4 : Midpoint Formula
Find the midpoint of
and .
Write the formula for the midpoint.
Substitute the points.
The answer is:
Example Question #5 : Midpoint Formula
What is the midpoint between
and ?
Recall that the general formula for the midpoint between two points is:
Think of this like being the "average" of your two points.
Based on your data, you know that your midpoint could be calculated as follows:
This is the same as:
Example Question #4 : Midpoint Formula
What is the midpoint between the points
and ?
Recall that the general formula for the midpoint between two points is:
Think of this like being the "average" of your two points.
Based on your data, you know that your midpoint could be calculated as follows:
This is the same as:
Example Question #5 : Midpoint Formula
is the midpoint between and some other point. What is that point?
Recall that the general formula for the midpoint between two points is:
Think of this like being the "average" of your two points.
Now, you can write your data out as follows, as you know the midpoint value as well as one of the values for your end points:
To finish solving, think of it like two different equations:
and
Now, solve each for the respective values:
and
Therefore, your other point is
or
Example Question #2 : Midpoint Formula
is the midpoint between and some other point. What is that point?
Recall that the general formula for the midpoint between two points is:
Think of this like being the "average" of your two points.
Now, you can write your data out as follows, as you know the midpoint value as well as one of the values for your end points:
To finish solving, think of it like two different equations:
and
Now, solve each for the respective values:
and
Therefore, your other point is
orExample Question #7 : Midpoint Formula
Find the midpoint of the following points:
To find the midpoint between two points, we will use the following formula:
where
and are the given points.So, given the points
and , we can substitute into the formula. We get
Example Question #11 : Midpoint Formula
Find the midpoint given the following points:
and
To find the midpoint between two points, we will use the following formula:
where
and are the given points.So, given the points
and , we can substitute. We get
Example Question #111 : Coordinate Geometry
The midpoint of a line with endpoints at
and is . Find the value of .
Recall how to find the midpoint of a line:
Since we are only worried about the
-coordinate, we can write the following equation:
Solve for
.