Explanation:
To find the midpoint of segment AB, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment are the average of the coordinates of its endpoints.
Given that the coordinates of point A are (-2, -3) and the coordinates of point B are (0, -1), we can find the midpoint by taking the average of the x-coordinates and the average of the y-coordinates.
The x-coordinate of the midpoint is:
((-2) + 0) / 2 = -1
The y-coordinate of the midpoint is:
((-3) + (-1)) / 2 = -2
Therefore, the midpoint of segment AB is (-1, -2).
To find the length of segment AB, we can use the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by the square root of [(x2 - x1)^2 + (y2 - y1)^2].
Using the coordinates of points A and B, we can calculate the length of segment AB as follows:
Length of AB = √[ (0 - (-2))^2 + (-1 - (-3))^2 ]
= √[ (0 + 2)^2 + (-1 + 3)^2 ]
= √[ 2^2 + 2^2 ]
= √[ 4 + 4 ]
= √8
≈ 2.83 (rounded to two decimal places)
Therefore, the length of segment AB is approximately 2.83.