This activity evolved from a frustration with getting students to have an intuition about what's happening geometrically when they're confronted with Side-Side-Angle and need to solve the triangle.
It first asks students to use a ruler and given SSA information to sketch opposite sides of the angle to create as many triangles as they can. They then sketch each one in the table provided. The questions on the back ask them to generalize the patterns from the front page.
The last problems look at the possible situations when they're given an obtuse angle (as part of SSA).
It's one of my favorite activities. This is their first exposure to the ambiguity (in other words I don't do any direct instruction prior to this activity on the ambiguity). They have already learned and used the law of sines a great deal prior to this activity.
(The measurements in the activity should be exact. i.e. the 5 inch side should measure 5 inches and the angle should measure 30 degrees.)
Answer Key coming soon.