SOLUTION: In ΔABC shown below, point A is at (0, 0), point B is at (x2, 0), point C is at (x1, y1), point D is at x sub 1 over 2, y sub 1 over 2 , and point E is at the quantity of x sub 1

Question 1161848: In ΔABC shown below, point A is at (0, 0), point B is at (x2, 0), point C is at (x1, y1), point D is at x sub 1 over 2, y sub 1 over 2 , and point E is at the quantity of x sub 1 plus x sub 2 over 2, y sub 1 over 2 :
Triangle ABC is shown. Point D lies on segment AC and point E lies on segment BC. A segment is drawn between points D and E. Po
Prove that segment DE is parallel to segment AB. (10 points)
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

There is not much to show....

The y coordinates of A and B are the same, so AB is horizontal, with slope 0.

The y coordinates of D and E are the same, so DE is horizontal, with slope 0.

Same slope means the segments are parallel.

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