The points A B C have coordinates (7,0),(3,-3),and (-3,3).find the coordinates of D E F the midpoints of BC,CA,AB respectively?

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Answer 1 · 2017-10-15T09:30:52

The coordinates of point #D,E,F# are #D (0,0) , E ( 2,1.5) and F(5,-1.5)# respectively.

Three points are #A(x_1=7,y_1=0) , B(x_2=3,y_2=-3)# and

#C(x_3=-3, y_3=3)# . The midpoint of two points,

# (x1, y1) and (x2, y2)# is the point M found by the following

formula: #M = ((x_1+x_2)/2 , (y_1+y_2)/2) :. #

#D = ((x_2+x_3)/2 , (y_2+y_3)/2)= ((3-3)/2, (-3+3)/2) or (0.0)#

#E = ((x_3+x_1)/2 , (y_3+y_1)/2)= ((-3+7)/2, (3+0)/2) or (2,1.5) #

#F = ((x_1+x_2)/2 , (y_1+y_2)/2)= ((7+3)/2, (0-3)/2) or (5,-1.5) #

The coordinates of point #D,E,F# are

#D (0,0) , E ( 2,1.5) and F(5,-1.5)# respectively. [Ans]