If the coordinates of one endpoint of a line segment are $( a , b )$ and the coordinates of the midpoint of the segment are $( p , q )$, then the coordinates of the other endpoint are $( 2 p - a , 2 q - b )$.

Question

Quizplus · Accepted Answer

The midpoint formula is $(p, q) = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$. Solving for the unknown endpoint $(x_2, y_2)$ when given $(x_1, y_1) = (a, b)$ and the midpoint $(p, q)$, we get $(x_2, y_2) = (2p - a, 2q - b)$.

If the Coordinates of One Endpoint of a Line Segment (a,b)( a , b )(a,b)

If the Coordinates of One Endpoint of a Line Segment $( a , b )$