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Example Questions
Example Question #191 : Lines
The following coordinates represent the vertices of a box. Where does the center of the box lie?
None of the given answers
To solve this, we need to choose two points that lie diagonally across from each other. Let's use and
. Now, we can substitute these points into the Midpoint Formula.
Example Question #14 : Midpoint Formula
Give the coordinates of the midpoint, in terms of , of a segment on the coordinate plane whose endpoints are
and
.
The coordinates of the midpoint of the line segment with endpoints
and
can be calculated using the formulas
and
.
Setting and
, and substituting:
Setting and
, and substituting:
The coordinates of the midpoint, in terms of , are
Example Question #12 : How To Find The Midpoint Of A Line Segment
The two endpoints of a line segment are and
. Find the midpoint.
In order to find the midpoint of a line segment, you need to average the x and y values of the endpoints.
The midpoint formula is
After plugging in the values you get
for x
and for y
Therefore, the midpoint is at .
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