The ratio between corresponding sides are the same for all pairs of corresponding sides in similar figures.
6
Practice makes perfect
We are told that the triangles are similar, and we want to find the value of x for the missing side lengths.
Notice that there is a pair of vertical angles. These angles have equal measures.
Since the figures are similar, their corresponding sides are also similar. Let's identify corresponding sides.
There is only one side on each polygon included between two acute angles. These are corresponding sides.
Similarly, there is only one side on each polygon included between obtuse angles and acute angles with one mark. Thus, they are also corresponding sides.
Similarly, there is only one side on each polygon included between obtuse angles and acute angles with two marks. Thus, they are also corresponding sides.
The ratio between corresponding sides is the same for all pairs of corresponding sides.
x/8=9/2x
Let's solve the above equation using Cross Product Property.
