Answer: The correct option is (C). midpoint.
Step-by-step explanation: We are given to select the point that can be found by taking the average of the endpoints of a line segment.
We know that
if we take the average of the endpoints of a line segment, then we get the co-ordinates of the mid-point of the segment.
For example, let us consider the line segment AB (in the attached figure below) with co-ordinates of the end-points A(2, 4) and B(4, 2).
Now, taking the average of the co-ordinates of the endpoint, we get the new co-ordinates as follows :
[tex]\left(\dfrac{2+4}{2},\dfrac{4+2}{2}\right)=(3,3).[/tex]
These are the co-ordinates of the midpoint M of the line segment AB as shown.
Therefore, the point that can be found by taking the average of the endpoints of a line segment is the MIDPOINT.
Thus, (C) is the correct option.
