Matemática
Thamiires
6

Determine as coordenadas do ponto M(a,b), ponto médio do segmento AB, sendo dados A(1,-1) e B(3, 5).

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(2) Respostas
mellinda

Xm = [latex] \frac{xA+xB}{2} [/latex] Ym = [latex] \frac{yA+yB}{2} [/latex] Xm = [latex] \frac{1+3}{2} [/latex] Xm = [latex] \frac{4}{2} [/latex] Xm = 2 Ym = [latex] \frac{-1+5}{2} [/latex] Ym = [latex] \frac{4}{2} [/latex] Ym = 2 M = (2,2)

marcialucas200

O ponto médio de um segmento é determinado por: [latex]X_m= \frac{x_1+x_2}{2} ~~~~~~~~~~ e ~~~~~~~~~~ Y_m= \frac{y_1+y_2}{2} [/latex] Calculando o ponto médio do segmento A(1,-1) e B(3,5): [latex]X_m= \frac{x_1+x_2}{2} ~~~~~~~~~~ e ~~~~~~~~~~ Y_m= \frac{y_1+y_2}{2} \\ \\ X_m= \frac{1+3}{2} ~~~~~~~~~~~~ e ~~~~~~~~~~~ Y_m= \frac{-1+5}{2} \\ \\ X_m= \frac{4}{2} ~~~~~~~~~~~~~~~ e ~~~~~~~~~~~ Y_m= \frac{4}{2} \\ \\ \boxed{X_m= 2 ~~~~~~~~~~~~~~ e ~~~~~~~~~~~~ Y_m= 2}[/latex]

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