Question

If A has the coordinate -8 and C has the coordinate 12 and B is the midpoint of AC, then what is the coordinate of D which is the midpoint of BC?

Answer 1

The coordinate of D, the midpoint of BC, is 7, calculated using the midpoint formula on the coordinates of B (2) and C (12).

Step-by-step explanation:

To find the coordinate of D, which is the midpoint of BC, we first need to find the coordinate of B, the midpoint of AC. The midpoint formula states that the midpoint M of a segment with endpoints (x1, y1) and (x2, y2) is given by M = ((x1 + x2) / 2, (y1 + y2) / 2).

In this case, A has the coordinate -8 and C has the coordinate 12. So, B, being the midpoint of AC, would have the coordinate (12 + (-8)) / 2 = 2.

Now, to find the coordinate of D, the midpoint of BC, we calculate it using B with coordinate 2 and C with coordinate 12. Therefore, D = (2 + 12) / 2 = 7.

Thus, the coordinate of D is 7.