Question

Calcule o ponto médio entre os pontos :

a) - K ( 3 , -4 ) L ( 2 , - 3 )
b ) - M ( 5 , - 3 ) ; N (4 , 2 )

Answer 1

$<var>\boxed{P_{m} = (\frac{x_{a}+x_{b}}{2}; \frac{y_{a}+y_{b}}{2})}</var>$

 

 

a) $<var>K(3;-4) \ \ \ \ L(2;-3) \\\\ P_{m} = (\frac{x_{k}+x_{l}}{2}; \frac{y_{k}+y_{l}}{2}) \\\\ P_{m} = (\frac{3+2}{2}; \frac{-3-4}{2}) \\\\ \boxed{\boxed{P_{m} = (\frac{5}{2}; \frac{-7}{2})} \ ou \ \boxed{(4,5; -3,5)}}</var>$

 

 

$<var>M(5;-3) \ \ \ \ N(4;2) \\\\ P_{m} = (\frac{x_{m}+x_{n}}{2}; \frac{y_{m}+y_{n}}{2}) \\\\ P_{m} = (\frac{5+4}{2}; \frac{-3+2}{2}) \\\\ \boxed{\boxed{P_{m} = (\frac{9}{2}; \frac{-1}{2})} \ ou \ \boxed{4,5; -0,5}}</var>$