1. An angle of 360í makes a full circle. An angle of 370í goes past a full circle by 10í, and in fact looks just like an angle of 10í. What would an angle of 1000í look like (that is, what angle less than 360í is it the same as)? What about an angle of a million degrees?
2. The sum of the three angles in a triangle is always 180í. Based on this fact, what is the sum of the four angles of any FOUR-sided figure? Tell the reasons behind your conclusion.
3. If you tie a string in a loop, you can arrange it on a tabletop in the form of various geometric figures. Any figure you make will have the same perimeter. Why?
4. Using the loop of string from question three, you can make a tall skinny rectangle, a square, or a short fat rectangle. Which one has the largest area?
