Question

To find the midpoint of a segment using the coordinates of its endpoints:

Answers:
A- Calculate the average of the x-coordinates and the average of the y-coordinates of the endpoints.

B- Calculate the differences of the x-coordinates and the differences of the y-coordinates of the endpoints.

C-Calculate the differences of the x-coordinates and the differences of the y-coordinates of the endpoints and divide each by 2.

D-Calculate the average of the x-coordinates and the average of the y-coordinates of the endpoints and divide each by 2.

Answer 1

D.

Answer 2

@iamforeveryoung D is incorrect. Read it carefully...

Answer 3

I reread it...@whpalmer4, yeah im wrong

Answer 4

Here is how you can reason this out:

Imagine you have a point at (0,0) and (0,a). What is the midpoint? Well, it is halfway along the line between (0,0) and (0,a), at (0,a/2).

Now imagine you have a point at (0,0) and (a,0). What is the midpoint? Again, it is halfway along the line between (0,0) and (a,0), at (a/2, 0). Now imagine that you had points at (0,0) and (a,a). What is the midpoint? It is just the average of the x values, the average of the y values. (a/2, a/2). If you draw a picture, you can see this is true. You're just finding the midpoint for each axis, then combining them.

Answer 5

Hopefully it is clear that we are averaging the components, not just dividing one of them by 2 :-)

Answer 6

A is right .