We can identify the pairs of congruent angles by matching them using the order they appear in the similarity statement.
ccccc
F & G & H & J
↓ & ↓ & ↓ & ↓
M & P & Q & S
The extended proportion that relates the corresponding sides for the similar polygons is created by writing a series of ratios for the corresponding side lengths. Let's list the pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.
Angles
Sides
∠F ≅ ∠M
∠G ≅ ∠P
∠H ≅ ∠Q
∠J ≅ ∠S
