How is the midpoint between two points (X1, Y1) and (X2, Y2) calculated?

The midpoint between two points in a coordinate plane is found by averaging the x-coordinates and the y-coordinates of the two points. This is because the midpoint represents the point that is exactly halfway between the two given points.

To calculate the x-coordinate of the midpoint, you add the x-coordinates of the two points, (X1) and (X2), and then divide that sum by 2. This gives the average x-value:

[ \text{Midpoint x-coordinate} = \frac{X1 + X2}{2} ]

Similarly, for the y-coordinate, you add the y-coordinates (Y1) and (Y2) of the two points and divide by 2 to find the average y-value:

[ \text{Midpoint y-coordinate} = \frac{Y1 + Y2}{2} ]

Combining these results, the coordinates of the midpoint are expressed as:

[ \left( \frac{X1 + X2}{2}, \frac{Y1 + Y2}{2} \right) ]

This formula ensures that the midpoint is equidistant from both original points, making it the correct choice. The other options