Below, you have two triangles with two equal sides. Adjust the red sides using slider a and the blue sides using slider b. You may also move the triangles using the + point (drag) or change their shape, which changes the length of the third side, using the circular points. You can also drag the two triangles on top of one another to try to match them up.
1. Are triangles that have two equal sides always the same shape?
2. If you have two triangles with two equal sides that DO have the same shape, what else must be true about the two triangles?