Question

Dados os pontos A e B,determine as coordenadas dos pontos que dividem o segmento AB em quatro partes iguais:A) A(8,0) e B(4,12)B)A(16,-4) e B(18,0)

Answer 1

A)

P M(ab)=(Xa+Xb)/2 , (Ya+Yb)/2
M(ab)=(8+4)/2 , (0+12)/2
M(ab)=12/2 , 12/2
M(ab)=6,6

P M(am)=(Xa+Xm)/2 , (Ya+Ym)/2
M(am)=(8+6)/2 , (0+6)/2
M(am)=14/2 , 6/2
M(am)=7,3

P M(bm)=(Xb+Xm)/2 , (Yb+Ym)/2
M(bm)=(4+6)/2 , (12+6)/2
M(bm)=10/2 , 18/2
M(bm)=5,9

As coordenadas são: (6,6), (7,3) e (5,9)

B)

P M(ab)=(Xa+Xb)/2 , (Ya+Yb)/2
M(ab)=(16+18)/2 , (-4+0)/2
M(ab)=34/2 , -4/2
M(ab)=17,-2

P M(am)=(Xa+Xm)/2 , (Ya+Ym)/2
M(am)=(16+17)/2 , (-4+(-2))/2
M(am)=33/2 , -6/2
M(am)=33/2,-3

P M(bm)=(Xb+Xm)/2 , (Yb+Ym)/2
M(bm)=(18+17)/2 , (0+(-2)/2
M(bm)=35/2 , -2/2
M(bm)=35/2,-1

As coordenadas são: (17,-2), (33/2,-3) e (35/2,-1)