The figure shows triangle ABC. A segment joins point D on side BC and point E on side BA. Segment BD is 18 and segment BE is 14.

Which statement must be true to prove that segment DE is parallel to segment CA?

1 : EA = 2 : DC

6 : DC = 7 : EA

7 : EA = 9 : DC

4 : DC = 1 : EA

Question

The figure shows triangle ABC. A segment joins point D on side BC and point E on side BA. Segment BD is 18 and segment BE is 14. 
  
Which statement must be true to prove that segment DE is parallel to segment CA? 

 1 : EA = 2 : DC 

 6 : DC = 7 : EA 

 7 : EA = 9 : DC 

 4 : DC = 1 : EA

mathstudent55 · Answer

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mathstudent55 · Answer

Notice that the ratio of 

BD : BE = 18 : 14, or

BD : BE = 9 : 7