Question

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

Answer 1

i think its C. midpoint
im not so sure tho

Answer 2

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((2+4)/(2),(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.