Question

Assinale a alternativa que corresponde com as coordenadas do ponto medio M do segmento AB, sendo A(-1;1) e B (-1;3)


( )M (0;2)
( )M (-1;1)
( )M (-1;2)
( )M (1;0)​

Answer 1

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Coordenadas do ponto médio

$\Large\boxed{\begin{array}{c}\sf As~coordenadas~do~ponto~m\acute edio~\\\sf a~qual~representa-se~por~M(x_M,y_M)\\\sf que~passa~pelos~pontos~A(x_A,y_A)~e~B(x_B,y_B)\\\sf s\tilde ao~dadas~por\\\huge\boxed{\boxed{\boxed{\boxed{\sf X_m=\dfrac{x_A+x_B}{2}}}}}~\sf e~\huge\boxed{\boxed{\boxed{\boxed{\sf y_M=\dfrac{y_A+y_B}{2}}}}} \end{array}}$

$\sf A(-1,1)~B(-1,3)\\\sf x_M=\dfrac{x_A+x_B}{2}\\\sf x_M=\dfrac{-1+(-1)}{2}\\\sf x_M=\dfrac{-2}{2}\\\sf x_M=-1\\\sf y_M=\dfrac{y_A+y_B}{2}\\\sf y_M=\dfrac{1+3}{2}\\\sf y_M=\dfrac{4}{2}\\\sf y_M=2\\\huge\boxed{\boxed{\boxed{\boxed{\sf M(-1,2)}}}}$