We can identify the pairs of congruent angles by matching them using the order they appear in the similarity statement.
ccccc
A & B & D & F
↓ & ↓ & ↓ & ↓
V & X & Z & T
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
∠ A ≅ ∠ V
∠ B ≅ ∠ X
∠ D ≅ ∠ Z
∠ F ≅ ∠ T
AB/VX = B D/X Z = D F/Z T = F A/T V
The ratio between corresponding sides is the same for all pairs of corresponding sides. Let's find the ratio.
