Question

6. Calcule o Ponto Médio entre os pontos: a) A (2 , 5) e B (-5 , -2) b) A (2 , -3) e B (4 , 5) c) P (-2 , 3) e Q (-5 , -9) d A (1 , 1) e B (1 , 4) e A (-2 , 4) e B (2 , 2)

Answer 1

Fórmula do Ponto Médio: $P_m=\left (\frac{x_a+x_b}{2}+\frac{y_a+y_b}{2} \right )$

Resposta:

a) $P_m=\left (\frac{2-5}{2}+\frac{5-2}{2} \right )\\P_m=\left (\frac{-3}{2}+\frac{3}{2} \right )\\P_m=\left (-1,5+1,5 \right )\\P_m=0$    b) $P_m=\left (\frac{2+4}{2}+\frac{-3+5}{2} \right )\\P_m=\left (\frac{6}{2}+\frac{2}{2} \right )\\P_m=\left (3+1 \right )\\P_m=4$    c) $P_m=\left (\frac{-2-5}{2}+\frac{3-9}{2} \right )\\P_m=\left (\frac{-7}{2}+\frac{-6}{2} \right )\\P_m=-3,5-4\\P_m=-7,5$

d) $P_m=\left (\frac{1+1}{2}+\frac{1+4}{2} \right )\\P_m=\left (\frac{2}{2}+\frac{5}{2} \right )\\P_m=1+2,5\\P_m=3,5$    e) $P_m=\left (\frac{-2+2}{2}+\frac{4+2}{2} \right )\\P_m=\left (\frac{0}{2}+\frac{6}{2} \right )\\P_m=0+3\\P_m=3$