Triangle Similarity Explorer
GOAL: Determine which combinations of side and angle information guarantee that two triangles are similar.
INSTRUCTIONS: Click sides and angles on the reference triangle, then select Test Selection to find out whether your evidence guarantees similarity.
Reference Triangle
Second Triangle (scaled)
Selected elements:
✨ Result
Select some sides and/or angles from the reference triangle, then click Test Selection to see if they guarantee a similar triangle.
Similarity Postulate
🏆 Discovered Postulates
💡 Hints & Tips▼
• S stands for Side — knowing the ratio (proportion) of a side
• A stands for Angle — knowing an angle measure
• Similar triangles have the same shape but can be different sizes
• Think about what minimum information guarantees the same shape
• There are 3 similarity postulates to discover: AA, SAS~, and SSS~