SOLUTION: A line segment has endpoints (X1,Y1) and (X2,Y2). Find the expressions in terms of X1,X2,Y1,Y2 for the coordinates of the points that divides the segment into four equal parts.

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Question 281092: A line segment has endpoints (X1,Y1) and (X2,Y2). Find the expressions in terms of X1,X2,Y1,Y2 for the coordinates of the points that divides the segment into four equal parts.
Thanks, in advance
Answer by stanbon(48546) About Me  (Show Source):
You can put this solution on YOUR website!
A line segment has endpoints (X1,Y1) and (X2,Y2). Find the expressions in terms of X1,X2,Y1,Y2 for the coordinates of the points that divides the segment into four equal parts.
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mid-point: [(x1+x2)/2 , (y1+y2)/2]
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mid-point of the mid-point between (x1,y1) and [(x1+x2)/2 , (y1+y2)/2]
= [(3x1+x2))/4),(3y1+y2)/4]
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mid-point of the mid-point between [(x1+x2)/2 , (y1+y2)/2] and (x2,y2)
= [(x1 + 3x2)/4 , (y1 + 3y2)/4]
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cheers,
Stan H.