The ratio between corresponding sides are the same for all pairs of corresponding sides in similar figures.
x=6
Practice makes perfect
We are told that the polygons are similar, and we want to find the value of x for the missing side length.
Since the figures are similar, their corresponding sides are also similar. We can identify the pairs of congruent angles by matching them using the order they appear in the similarity statement.
ccccc
F & G & H
↓ & ↓ & ↓
M & N & P
Now let's match corresponding sides.
The ratio between corresponding sides is the same for all pairs of corresponding sides.
20/10=12/x
We can use the ratio without variables to solve for the values of x and y. Let's solve for x first.
