Question

Given quadrilateral ABCD is similar to quadrilateral EFGH, calculate the length of CD.

A. 7
B. 8
C. 9
D. 2

Answer 1

@johnweldon1993

Answer 2

Can you help?

Answer 3

Well if you were to turn these to be in the same direction and everything you would see the side lengths ratios...

\[\large AB = EF \space \space \space BC = GF \space \space \space AD = HE \space \space \space DC = HG\]

So we just need to set up 1 proportion

Lets compare GF and BC...and use that to solve HG = DC

\[\large \frac{ 7.5 }{ 4 } = \frac{ 15 }{ DC }\]

solve for DC

Answer 4

i somehow got 450

Answer 5

You multiplied by 7.5 instead of dividing

Answer 6

60 then

Answer 7

Remember when you cross multiply...you do....7.5 * DC and 15 * 4

so then we have

\[\large 7.5DC = 60\]

Now divide both sides by 7.5

Answer 8

8

Answer 9

There we go!

Answer 10

I got 8 ! is it right?

Answer 11

YEAHHH! c: thanks dude

Answer 12

No problem! just remember that...divide! lol

Answer 13

i keep forgetting o.e;