Question

can someone help me?
BC parallel to DE. BC = 6, DE = 9 Which of the following could be the lengths of AB and BD respectively?


2 and 3
3 and 4.5
4 and 2
4 and 8

https://media.glynlyon.com/g_geo_2013/5/groupi19.gif

Answer 1

AB/AD = BC/DE

Answer 2

what's the next step?

Answer 3

Check the validity of each option

Answer 4

Put in values to AB/AD=BC/DE from each option to see if the equality holds

Answer 5

isn't there a faster, more efficient way that will lead me straight to the answer?

Answer 6

No

Answer 7

But please be aware that BC/DE will be the same for each case

Answer 8

so if there aren't any answer options, then how will i plug in the numbers for each equation?

Answer 9

For example, when AB=2 and BD=3, (first option)
\[\frac{AB}{AD}=\frac{AB}{AB+BD}=\frac2{2+3}=\frac25\]\[\frac{BC}{DE}=\frac69=\frac23\]\[\because\frac{AB}{AD}\ne\frac{BC}{DE}\]Therefore the first option is incorrect

Answer 10

oh okay

Answer 11

This is obviously not equal

Answer 12

Which yes you're correct you're doing so

Answer 13

so there no need to cross multiply on these questions?

Answer 14

You should check if AB/AD = 6/9 or 2/3

Answer 15

For each freaking option

Answer 16

can you tell me the answer and then show the steps on how you got it?

Answer 17

C

Answer 18

Because \(\dfrac4{4+2}=\dfrac69\)

Answer 19

thank you
and thank for the patience