A student examines the triangle shown above. He notices that lines BE and CD look parallel. The student claims that they are parallel by look
alone.
Is the student correct?
A. Yes, because 6/3 = 12/9
B. Yes, because 6/12 = 3/9
C. Yes, because 6/9 = 3/12
D. No, because 6/3 ≠ 12/9
A. Yes, because 6/3 = 12/9
The student is correct because if two lines are parallel, then corresponding sides of the triangles formed by those lines are proportional. So, in this case, the ratio of BE/EC would be equal to the ratio of CD/DX, which simplifies to 6/3 = 12/9.