SSA? Does it work?

So, we are trying to find ways to prove that two triangles are congruent without knowing the measure of ALL the sides ALL the angles. What we want to know now is if we can know for certain that two triangles are congruent if they two sides are congruent, and one angle that is not included (or between) the sides is congruent.
  1. Set the measurement for the angle and the measure of two sides and .
  2. Then see if you can make a triangle by clicking on the "Does it make a triangle?" box.  Do all combinations make a triangle? Talk to your partner about why some combinations don't make a triangle.
  3. Now, click the box for "Is that the only triangle?" If nothing shows up, then there is only one or no triangle. Can you find a combination that does make more than one triangle?
Find combinations of an Angle-Side-Side that will give you the following possibilities Share these combinations with your partner.

Give an Angle measure and 2 side measure that make no possible triangle.

Give an Angle measure and 2 side measure that make ONE possible triangle.

Give an Angle measure and 2 side measure that make TWO possible triangle.

With your partner, decide if this statement is true or false: "If we know that two triangles have 2 congruent sides and 1 congruent non-included angle, then the triangles must be congruent!?!?!?"

Is this SSA statement True or False?

Check all that apply