Question

Geometry question

Answer 1

Is it D?

Answer 2

If the figures are similar, then the corresponding sides are proportional.
The two sides marked y and z are for a future question or to confuse you. Don't worry about those.
See if you can write the equation that make use of the proportional sides to solve for x.

Answer 3

I'm sorry I don't know how to go about doing that

Answer 4

First we establish corresponding sides.
Can you tell me what is the side in the smaller figure that corresponds to BC?

Answer 5

FG

Answer 6

Good, what about AD?

Answer 7

EH

Answer 8

Good!

Answer 9

In two similar figures, the ratio of the corresponding sides are proportional, which means
\(\frac{BC}{FG} =\frac{AD}{EH}\)
ok so far?

Answer 10

Okay

Answer 11

Now put in numbers for those known sides, ad try to solve for AD (which equals x).

Answer 12

?/6 = ?/12

Answer 13

BC = 8 is given
AD = x , you need to find

Answer 14

8/6 = x/12
can you find x from here ?

Answer 15

You had put EC in the fraction that's why I was confused

Answer 16

1.33 = x/12

Answer 17

EC?? where...anyways

so what u finally got for x ?

Answer 18

Do I do 1.33 x 12?

Answer 19

yes

Answer 20

if you get x =16, then it would be correct :)