SOLUTION: In ABC, where A(1, 18), B( - 7, 4), and C(5, 0), determine whether the line segment joining the midpoints of AB and AC are parallel to side BC.

Question 1180165: In ABC, where A(1, 18), B( - 7, 4), and C(5, 0), determine whether the line segment joining the
midpoints of AB and AC are parallel to side BC.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

.

Calculate mid point of AB and AC
x=(-1+7)/2 =-3
y= (18+4)/2 =11
slope of EF
x1 y1 x2 y2
-3 11 3 9

slope m = (y2-y1)/(x2-x1)
( 9 - 11 )/( 3 - -3 )
( -2 / 6 )
m= -0.33

slope of BC
x1 y1 x2 y2
-7 4 5 0

slope m = (y2-y1)/(x2-x1)
( 0 - 4 )/( 5 - -7 )
( -4 / 12 )
m= -0.33
slope EF equal to slope BC
so EF parallel to BC
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