3. Similar Triangles
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Start by identifying the corresponding vertices on the graph.
Angles: ∠W ≅ ∠Q, ∠X ≅ ∠R, ∠Y ≅ ∠S, ∠Z ≅ ∠T
Sides: WX/QR = XY/RS = YZ/ST = ZW/TQ
Two polygons are similar if their corresponding angles are congruent and if the lengths of the corresponding sides are proportional. We are given that WXYZ ~ QRST.
| Angles | Sides |
|---|---|
| ∠W ≅ ∠Q ∠X ≅ ∠R ∠Y ≅ ∠S ∠Z ≅ ∠T | WX/QR = X Y/R S = YZ/ST = ZW/TQ |