Question

The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.

Answer 1

If the length of AO is three times the length of CO, the length of BO is

one-third the length of AC

one-third the length of AB

three times the length of DO

three times the length of DC

Answer 2

which one do you think it is

Answer 3

nooo idea

Answer 4

Triangles AOB and COD are similar

Answer 5

and it turns out that triangle AOB is 3 times larger (ie each side is 3 times longer)

Answer 6

one more thing to look at, notice how AO corresponds to CO (ie AO is three times longer), and BO corresponds to DO, which means what?

Answer 7

c?

Answer 8

you got it

Answer 9

the two are in the same proportion as AO and CO are

So BO must also be 3 times larger (than it's corresponding part DO)

Answer 10

thanksyou(:

Answer 11

yw