All SSAT Upper Level Math Resources
Example Questions
Example Question #2072 :Hspt Mathematics
A line segment on the coordinate plane has midpoint. One of its endpoints is. What is the-coordinate of the other endpoint, in terms ofand/or?
Letbe the-coordinate of the other endpoint. Since the-coordinate of the midpoint of the segment is the mean of those of the endpoints, we can set up an equation as follows:
Example Question #1 :Midpoint Formula
A line segment on the coordinate plane has one endpoint at; its midpoint is. Which of the following gives the-coordinate of its other endpoint in terms ofand?
To find the value of the-coordinate of the other endpoint, we will assign the variable. Then, since the-coordinate of the midpoint of the segment is the mean of those of its endpoints, the equation that we can set up is
.
We solve for:
Example Question #1 :How To Find The Endpoints Of A Line Segment
One endpoint of a line segment on the coordinate plane is the point; the midpoint of the segment is the point. Give the-coordinate of the other endpoint of the segment.
In thepart of the midpoint formula
,
set, and solve:
This is the correct-coordinate.
Example Question #1 :How To Find The Endpoints Of A Line Segment
One endpoint of a line segment on the coordinate plane is the point; the midpoint of the segment is the point. Give the-coordinate of the other endpoint of the segment.
Using thepart of the midpoint formula
.
setand solve:
The second endpoint is.
Example Question #3 :How To Find The Endpoints Of A Line Segment
On the coordinate plane,is the midpoint ofandis the midpoint of.has coordinatesandhas coordinates.
Give the-coordinate of.
First, find the-coordinate of. In thepart of the midpoint formula
,
set, and solve:
Now, find the-coordinate ofsimilarly, setting
This is the correct response.
Example Question #1 :How To Find The Endpoints Of A Line Segment
On the coordinate plane,is the midpoint ofandis the midpoint of.has coordinatesandhas coordinates.
Give the-coordinate of.
First, find the-coordinate of. In thepart of the midpoint formula
,
set, and solve:
Now, find the-coordinate ofsimilarly, setting
This is the correct response.
Example Question #5 :How To Find The Endpoints Of A Line Segment
On the coordinate plane,is the midpoint ofandis the midpoint of.has coordinatesandhas coordinates.
Give the-coordinate of.
First, find the-coordinate of. In thepart of the midpoint formula
,
set, and solve:
Now, find the-coordinate ofsimilarly, setting
This is the correct response.
Example Question #11 :Midpoint Formula
On the coordinate plane,is the midpoint ofandis the midpoint of.has coordinatesandhas coordinates.
Give the-coordinate of.
First, find the-coordinate of. In thepart of the midpoint formula using the coordinates fromand
,
set, and solve:
Now, find the-coordinate ofsimilarly, setting
This is the correct response.
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