3. Similar Triangles
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Two polygons are similar if their corresponding angles are congruent and if the lengths of the corresponding sides are proportional. We are given that FGHJ ~ MPQS.
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 | FG/MP = G H/P Q = HJ/QS = JF/SM |