Endpoint Calculator

Easily calculate the coordinates of the endpoint of a line segment. Just enter the starting point and midpoint coordinates.

Enter Coordinates

Starting Point (A):

Midpoint (M):

Result

Endpoint Coordinates:

Calculation Steps:

Enter coordinates and click 'Calculate Endpoint' to see the result here.

Understanding Endpoint Calculator

The Endpoint Calculator is a tool used to find the coordinates of an endpoint of a line segment when you know the midpoint and the other endpoint. A line segment is defined by two endpoints, and the midpoint is the point exactly halfway between these endpoints.

Formula:

If we have a starting point A( $$x_1, y_1$$ ) and a midpoint M( $$x_m, y_m$$ ), and we want to find the endpoint B( $$x_2, y_2$$ ), we use the formulas derived from the midpoint formula:

Endpoint x-coordinate ( $$B_x$$ ): $B_x = 2M_x - A_x$
Endpoint y-coordinate ( $$B_y$$ ): $B_y = 2M_y - A_y$

Example:

Suppose the starting point of a line segment is A(1, 2) and the midpoint is M(4, 5). To find the endpoint B, we calculate:

$B_x = 2 \times 4 - 1 = 7$
$B_y = 2 \times 5 - 2 = 8$

Thus, the endpoint B is (7, 8). Use this calculator to easily compute endpoints for various geometry problems and coordinate geometry exercises.