3-A line introduced in a figure to make a proof possible. 4-A statement that is easily proved by applying a theorem. 2-With respect to an exterior angle, the two interior angles of the triangle that are not adjacent to the exterior angle. 1-An angle formed by one side of a triangle and the extension of an adjacent side of the triangle.
1. An angle formed by one side of a triangle and the extension of an adjacent side of the triangle. 2. With respect to an exterior angle, the two interior angles of the triangle that are not adjacent to the exterior angle. 3. A line introduced in a figure to make a proof possible. 4. A statement that is easily proved by applying a theorem.
This is false. There were many times in history when people discovered something that they didn't even know was possible or didn't even plan to discover it. Knowing tradeoffs doesn't mean that something won't surprise you or that all will go according to plan.
