find the other endpoint of a line segment with the given midpoint (6,4) endpoint ((3, 5).
6= 3/2 and 4 = 5/2
12=6 and 8 = 10
12-6 and 8 - (-10)
End Point = (6, 18)
To find the other endpoint of a line segment when the midpoint and one endpoint are given, you can use the formula:
Endpoint = 2 * Midpoint - Given Endpoint
Let's apply this formula to your example:
Given midpoint: (6, 4)
Given endpoint: (3, 5)
Using the formula, we substitute the values:
Endpoint = 2 * (6, 4) - (3, 5)
To simplify, we calculate each coordinate separately:
For x-coordinate:
2 * 6 - 3 = 12 - 3 = 9
For y-coordinate:
2 * 4 - 5 = 8 - 5 = 3
Therefore, the other endpoint is (9, 3).