Question

What point can be found by taking the average of the endpoints of a line segment?A. VertexB. EndpointC. MidpointD. Cente

Answer 1

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 :

$\left(\dfrac{2+4}{2},\dfrac{4+2}{2}\right)=(3,3).$

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.

Answer 2

I think its C. midpoint 
im not so sure tho