Question

For Exercises 2-5, find the midpoint of each segment with the given endpoints.

2. A 4. 6) and B(10. 10)
3. 3. 8) and DC )
4. E(3, 7) and F(-8, = 10)
5. G 6. - 13) and (6.4, 3.8)

Answer 1

To find the midpoint of a line segment with given endpoints, average the x-coordinates and the y-coordinates of the endpoints. The formula is applied to each pair of points to find the midpoints, which are (7, 8), (1, 5), (-2.5, -1.5), and (6.2, -4.6) respectively for the given pairs of endpoints.

Step-by-step explanation:

The question asks us to find the midpoint of line segments given their endpoints. The midpoint of a line segment can be determined by averaging the x-coordinates and the y-coordinates of the endpoints separately. The formula for the midpoint M between two points A(x1, y1) and B(x2, y2) is M = ((x1 + x2) / 2, (y1 + y2) / 2).

Using this formula, we'll calculate the midpoint for each set of points provided:

1. Midpoint of A(4, 6) and B(10, 10): M = ((4 + 10) / 2, (6 + 10) / 2) = (7, 8)
2. Midpoint of C(3, 8) and D(-1, 2): M = ((3 - 1) / 2, (8 + 2) / 2) = (1, 5)
3. Midpoint of E(3, 7) and F(-8, -10): M = ((3 - 8) / 2, (7 - 10) / 2) = (-2.5, -1.5)
4. Midpoint of G(6, -13) and H(6.4, 3.8): M = ((6 + 6.4) / 2, (-13 + 3.8) / 2) = (6.2, -4.6)