Triangle Similarity Explorer

Click on sides and angles of the reference triangle to select them, then test if your selection guarantees that a second triangle with those properties must be similar.

Reference Triangle

Second Triangle (scaled)

Selected elements:

Click sides or angles above

โœจ Result

๐Ÿค”

Select some sides and/or angles from the reference triangle, then click Test Selection to see if they guarantee a similar triangle.

๐Ÿ† Discovered Postulates

Discovery awaits...
๐Ÿ’ก Hints & Tipsโ–ผ

โ€ข S stands for Side โ€” knowing the ratio (proportion) of a side

โ€ข A stands for Angle โ€” knowing an angle measure

โ€ข Similar triangles have the same shape but can be different sizes

โ€ข Think about what minimum information guarantees the same shape

โ€ข There are 3 similarity postulates to discover: AA, SAS~, and SSS~