Question

1) Determina M, ponto médio do segmento AB, nos seguintes casos: a) A(-5, 7) e B(1,0) b) A(-1,5) e B(5,-2) c) A(3,-2) e B(-1,-6)

Answer 1

a) (-2,7/2)

b) (2,3/2)

c) (1,-4)

Define se o ponto médio como o ponto que divide o segmento de reta exatamente no meio tendo dois segmentos iguais

Ponto médio de um segmento AB é a média aritmética de suas coordenadas

$xm=\dfrac{xa+xb}{2} \\\\\\ym=\dfrac{ya+yb}{2} \\\\\\a) ~~A(-5,7)~~e~~B(1,0)\\\\\\Resolvendo:\\\\\\xm=\dfrac{-5+1}{2} \\\\\\xm=-\dfrac{4}{2} \\\\\\xm=-2\\\\\\\\ym=\dfrac{7+0}{2} \\\\\\\\ym=\dfrac{7}{2} \\\\\\Resposta~~~Pm(-2,\dfrac{7}{2} )$

$b)~~A(-1,5)~~~e~~~B(5,-2)\\\\\\xm=\dfrac{-1+5}{2} \\\\\\xm=\dfrac{4}{2} \\\\\\xm=+2\\\\\\ym=\dfrac{-2+5}{2} \\\\\\ym=\dfrac{3}{2} \\\\\\Resposta~~~Pm(2,\dfrac{3}{2} )$

$c)~~A(3,-2)~~~e~~~B(-1,-6)\\\\\\xm=\dfrac{-1+3}{2} \\\\\\xm=\dfrac{2}{2} \\\\\\xm=+1\\\\\\ym=\dfrac{-6-2}{2} \\\\\\ym=-\dfrac{8}{2} \\\\\\ym=-4\\\\\\Resposta~~Pm(1,-4)$

Para saber mais acesse os links abaixo

Distância entre dois pontos

https://brainly.com.br/tarefa/30982052

brainly.com.br/tarefa/28916756