Triangle Similarity Shortcuts

Observations and discoveries

The following are several "shortcuts" to proving whether or not two triangles can be similar. Some of these shortcuts are valid, but others are invalid. Use your knowledge of similar polygons to find the valid shortcuts. Check your understanding at the bottom of this worksheet.

AA Shortcut Test

S S Shortcut Test

S S S Shortcut Test

S S A Shortcut Test

S A S Shortcut Test

Check Your Understanding

Which shortcuts did you think were valid?

Check all that apply