Start by identifying the congruentangles between the figures.
Angles: ∠A ≅ ∠Z, ∠B ≅ ∠X, ∠C ≅ ∠Y Sides: AB/ZX = BC/XY = AC/ZY
Practice makes perfect
Two polygons are similar if their corresponding angles are congruent and if the lengths of the corresponding sides are proportional. We are given that â–³ ABC ~ â–³ ZXY.
We can identify the pairs of congruent angles by matching them using the order they appear in the similarity statement.
ccccc
A & B & C
↓ & ↓ & ↓
Z & X & Y
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.
