Student council agrees that it would be nice to have different clocks throughout the school. Each room will eventually have a new clock that somehow reflects the subject taught in the room. All the math department clocks will have the same base layer with differences in the clock face. The math department clock bases will be a 12-sided regular polygon. You have volunteered to sketch the base so that construction technology classes can begin building the clocks.

Complete the sketch, indicating both the necessary interior and exterior angles. Show your calculations beside the sketch.

Calculate the number of diagonals that could be drawn on the base of the clock.
"A square is a rhombus." Prove or deny this statement. Justify your answer. Diagrams will enhance your explanation.
"A parallelogram is a rectangle." Prove or deny this statement. Justify your answer. Diagrams will enhance your explanation.