Question

AC, DF, and GI are parallel. Use the figure to complete the proportion.

CF/BE - FI/?

Answer 1

Hi there!

CF/BE = FI/EH
If you look at the picture, you can see that BE and EH are both in the same place on the figure. They are both also trapezoids, which makes this easier as you can clearly see what would allow them to be proportional.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Answer 2

Answer: Proportion will be

`(CF)/(BE)=(FI)/(EH)`

Explanation:

Since er have given that

AC, DF and GI are parallel.

As we have

`(CF)/(BE)=(FI)/(x)`

Since it can be written as

`CF:BE::FI:x`

Since we can see that from the graph that if

CF:BE has proportional length then,

FI : EH must have the same proportional length

So, Proportion will be

`\frac {CF}{BE}=(FI)/(EH)`