Are these two triangles identical? Explain how you know.

Tyler claims that if two triangles each have a side length of 11 units and a side length of 8 units, and also an angle measuring \(100^\circ\), they must be identical to each other. Do you agree? Explain your reasoning.

Use a protractor to try to draw each triangle. Which of these three triangles is impossible to draw?

1. A triangle where one angle measures \(20^\circ\) and another angle measures \(45^\circ\)
2. A triangle where one angle measures \(120^\circ\) and another angle measures \(50^\circ\)

3. A triangle where one angle measures \(90^\circ\) and another angle measures \(100^\circ\)

A triangle has an angle measuring \(90^\circ\), an angle measuring \(20^\circ\), and a side that is 6 units long. The 6-unit side is in between the \(90^\circ\) and \(20^\circ\) angles.

1. Sketch this triangle and label your sketch with the given measures.
2. How many unique triangles can you draw like this?