Final answer:
To find the midpoint of a line segment in Mathematics, the average of the x-coordinates and the y-coordinates of the two endpoints is calculated using the midpoint formula. For example, the midpoint of a segment between (8, 8) and (16, 16) is (12, 12), and for a segment between (4, 4) and (2, 2), it is (3, 3).
Step-by-step explanation:
The student is asking how to find the midpoint of a line segment in Mathematics, specifically in a Cartesian coordinate system. The midpoint of a line segment that connects two points, (x1, y1) and (x2, y2), can be found by taking the average of the x-coordinates and the average of the y-coordinates of the two endpoints. The formula to find the midpoint M is given as M = ((x1 + x2)/2, (y1 + y2)/2).
Let's take the example of finding the midpoint of the line segment from point A (8, 8) to point B (16, 16). Using the formula:
Midpoint M = ((8 + 16)/2, (8 + 16)/2) = (12, 12)
Similarly, for a line segment from point C (4, 4) to point D (2, 2), the midpoint would be:
Midpoint M = ((4 + 2)/2, (4 + 2)/2) = (3, 3)