Triangle Congruence Explorer

Click on sides and angles of the reference triangle to select them, then test if your selection uniquely determines a congruent triangle.

Reference Triangle

Second Triangle

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 uniquely determine a congruent triangle.

๐Ÿ† Discovered Postulates

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

โ€ข S stands for Side - a known length

โ€ข A stands for Angle - a known angle measure

โ€ข Try to find the minimum information needed to guarantee congruence

โ€ข Not all combinations work! Some leave room for multiple triangles

โ€ข The HL postulate only works for right triangles