Question #300689

2) C (3, -3), D (0, 4) Find the midpoints of the ff. Points 3) E (3, 2) , F (-1 , -2) 4) G (-3, 0), H (2, -1 ) 5) I (3, 1), J (-2, 0 )


1
Expert's answer
2022-02-22T11:13:11-0500

2)


xM=xC+xD2=3+02=3/2x_M=\dfrac{x_C+x_D}{2}=\dfrac{3+0}{2}=3/2

yM=yC+yD2=3+42=1/2y_M=\dfrac{y_C+y_D}{2}=\dfrac{-3+4}{2}=1/2

M(3/2,1/2)M(3/2, 1/2)


3)


xK=xE+xF2=312=1x_K=\dfrac{x_E+x_F}{2}=\dfrac{3-1}{2}=1

yK=yE+yF2=222=0y_K=\dfrac{y_E+y_F}{2}=\dfrac{2-2}{2}=0

K(1,0)K(1, 0)


4)


xN=xG+xH2=3+22=1/2x_N=\dfrac{x_G+x_H}{2}=\dfrac{-3+2}{2}=-1/2

yN=yG+yH2=012=1/2y_N=\dfrac{y_G+y_H}{2}=\dfrac{0-1}{2}=-1/2

N(1/2,1/2)N(-1/2, -1/2)


5)


xP=xI+xJ2=322=1/2x_P=\dfrac{x_I+x_J}{2}=\dfrac{3-2}{2}=1/2

yP=yI+yJ2=1+02=1/2y_P=\dfrac{y_I+y_J}{2}=\dfrac{1+0}{2}=1/2

P(1/2,1/2)P(1/2, 1/2)



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