1. Congruent Triangles Can given numbers make a triangle ? Can a different triangle be formed with the same information?

2. Conditions for Unique Triangles SSSSAS Any set of data that fits these conditions will result in one unique triangle. two shortest sides are longer than the third side two angles must sum to less than 180º AAS ASA

3. Ambiguous Triangle Case (aka the ‘bad’ word) This diagram is deceiving -- side-side-angle data may result in two different triangles. Side a is given but it might be possible to ‘swing’ it to either of two positions depending on the other given values. SSA A a b An acute or an obtuse triangle may be possible.