Razpolovišče

Razpolovíšče je v geometriji srednja točka daljice in je enako oddaljena od obeh njenih krajišč. V dvorazsežnem kartezičnem prostoru je razpolovišče krajišč $(x_{1},y_{1})$ in $(x_{2},y_{2})$ enako:

\left({\tfrac {x_{1}+x_{2}}{2}},{\tfrac {y_{1}+y_{2}}{2}}\right)\!\,.

V trirazsežnem kartezičnem prostoru je razpolovišče krajišč $(x_{1},y_{1},z_{1})$ in $(x_{2},y_{2},z_{2})$ enako:

M=\left({\tfrac {x_{1}+x_{2}}{2}},{\tfrac {y_{1}+y_{2}}{2}},{\tfrac {z_{1}+z_{2}}{2}}\right)\!\,.

Čez razpolovišče pravokotno na daljico poteka njena simetrala.

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