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

If the length of AO is double the length of CO, the length of DC is

half of the length of AB

one-fourth the length of DB

double the length of AO

equal to the length of OB

Question

The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.
 


If the length of AO is double the length of CO, the length of DC is

 half of the length of AB

 one-fourth the length of DB

 double the length of AO

 equal to the length of OB

anonymous · Answer

attachment

anonymous · Answer

i think AOB and DOC are similar triangles

anonymous · Answer

therefore all the lengths are proportionate and  "double the length of AO" is correct

anonymous · Answer

how come its not the first choice?

anonymous · Answer

ya i thought its the first choice too.

anonymous · Answer

sorry i thought they asked for AB

anonymous · Answer

that me being bad at reading sorry

anonymous · Answer

my reasoning was ok though ;)

anonymous · Answer

haha :) so it is the first choice right?

anonymous · Answer

ya take the trapezoid  and make 2 triangles. the leg is always twice the hypothenuse

anonymous · Answer

thank youu :)

anonymous · Answer

no problem :)