what is the midpoint of ab with end points a 3 2 and b 8 14
To find the midpoint of segment AB with endpoints A(3, 2) and B(8, 14), we can use the midpoint formula.
The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.
In this case:
Midpoint's x-coordinate = (A's x-coordinate + B's x-coordinate) / 2 = (3 + 8) / 2 = 11 / 2 = 5.5
Midpoint's y-coordinate = (A's y-coordinate + B's y-coordinate) / 2 = (2 + 14) / 2 = 16 / 2 = 8
Hence, the midpoint of AB is (5.5, 8).
To find the midpoint between two points, we can use the midpoint formula. The formula to find the midpoint between two points (x1, y1) and (x2, y2) is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
In this case, the coordinates of point A are (3, 2) and the coordinates of point B are (8, 14).
Using the midpoint formula, we can find the midpoint as follows:
Midpoint = ((3 + 8) / 2, (2 + 14) / 2)
Midpoint = (11 / 2, 16 / 2)
Midpoint = (5.5, 8)
Therefore, the midpoint of line segment AB with endpoints A(3, 2) and B(8, 14) is (5.5, 8).
To find the midpoint of a line segment with endpoints A and B, you can use the midpoint formula, which states that the midpoint's x-coordinate is the average of the x-coordinates of the endpoints, and the midpoint's y-coordinate is the average of the y-coordinates of the endpoints.
Given that the coordinates of point A are (3, 2) and the coordinates of point B are (8, 14), we can use the midpoint formula to find the coordinates of the midpoint.
The x-coordinate of the midpoint is determined by averaging the x-coordinates of A and B:
x-coordinate of the midpoint = (x-coordinate of A + x-coordinate of B) / 2
x-coordinate of the midpoint = (3 + 8) / 2 = 11 / 2 = 5.5
Similarly, the y-coordinate of the midpoint is determined by averaging the y-coordinates of A and B:
y-coordinate of the midpoint = (y-coordinate of A + y-coordinate of B) / 2
y-coordinate of the midpoint = (2 + 14) / 2 = 16 / 2 = 8
Therefore, the midpoint of line segment AB is (5.5, 8).