Suppose segment DE is bisected by segment FG, where F is the midpoint of segment DE. Given that segment DE = 20.8, segment DG = 36.4, and segment EG = 36.4, what can you say about the relationship of segments DE and FG?

a.They are the congruent.
b.Segment FE is parallel to segment FG.
c.They are perpendicular.
d.Segment FE is half the length of segment FG.

Question

Suppose segment DE is bisected by segment FG, where F is the midpoint of segment DE. Given that segment DE = 20.8, segment DG = 36.4, and segment EG = 36.4, what can you say about the relationship of segments DE and FG? 

a.They are the congruent.
b.Segment FE is parallel to segment FG.
c.They are perpendicular.
d.Segment FE is half the length of segment FG.

anonymous · Answer

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campbell_st · Answer

draw a picture

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the 2  triangles GFD and GFE are congruent by the Side, Side Side test

                             GD    = GE       both (36.4)
                              GF                    common Side
                              DF = FE            (F is the midpoint of DE)

then  angle GFD and GFE   corresponding angles in congreunt triangles... 

Since DE is a straight angle the only way it can happen is if  GFD and GFE are both 90

then FG is perpendicular to DE