Explicação passo-a-passo:
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Lembrando que:
[tex]\boxed{x_{m}=\dfrac{x_{a}+x_{b} }{2}}[/tex]
[tex]\boxed{y_{m}=\dfrac{y_{a}+y_{b} }{2}}[/tex]
a)Temo os seguintes pontos A(2, 0) e B(-4, 3).
Calculando [tex]x_{m}[/tex] :
[tex]x_{m}=\dfrac{2-4}{2} \\\\x_{m}=\dfrac{-2}{2}\\\\\boxed{x_{m}=-1}[/tex]
Calculando [tex]y_{m}[/tex] :
[tex]y_{m}=\dfrac{0+3}{2} \\\\\boxed{y_{m}=\dfrac{3}{2} }[/tex]
O ponto médio é:
[tex]\boxed{\boxed{M\bigg(-1\ ,\dfrac{3}{2} \bigg)}}[/tex]
b)Temo os seguintes pontos A(3, 2) e B(1, -2).
Calculando [tex]x_{m}[/tex] :
[tex]x_{m}=\dfrac{3+1}{2} \\\\x_{m}=\dfrac{4}{2}\\\\\boxed{x_{m}=2}[/tex]
Calculando [tex]y_{m}[/tex] :
[tex]y_{m}=\dfrac{2-2}{2}\\\\y_{m}=\dfrac{0}{2} \\\\\boxed{y_{m}=0 }[/tex]
O ponto médio é:
[tex]\boxed{\boxed{M(2,0)}}[/tex]
c)Temo os seguintes pontos A(1, 2) e B(2, 4).
Calculando [tex]x_{m}[/tex] :
[tex]x_{m}=\dfrac{1+2}{2}\\\\\boxed{x_{m}=\dfrac{3}{2} }[/tex]
Calculando [tex]y_{m}[/tex] :
[tex]y_{m}=\dfrac{2+4}{2}\\\\y_{m} =\dfrac{6}{2} \\\\\boxed{y_{m}=3 }[/tex]
O ponto médio é:
[tex]\boxed{\boxed{M\bigg(\dfrac{3}{2}\ ,3 \bigg)}}[/tex]
d)Temo os seguintes pontos A(-3, 5) e B(3, -5).
Calculando [tex]x_{m}[/tex] :
[tex]x_{m}=\dfrac{-3+3}{2} \\\\x_{m}=\dfrac{0}{2}\\\\\boxed{x_{m}=0}[/tex]
Calculando [tex]y_{m}[/tex] :
[tex]y_{m}=\dfrac{5-5}{2} \\\\y_{m}=\dfrac{0}{2}\\\\\boxed{y_{m}=0}[/tex]
O ponto médio é:
[tex]\boxed{\boxed{M(0,0)}}[/tex]
