Mathematical Reflection 1

1. All polygons are closed, their lines don't cross, and they all have straight lines. This is because these are the rules to identifying polygons.

2a. The measure in degrees tells you exactly how big the angle is. It can also tell you wether it is acute, obtuse or a reflex angle.

2b. The main benchmarks that are used are all the multiples of 45 degrees up to 360 degrees (like 45, 90,135, 180, 225, 270, 315 and 360 degrees), and all the multiples of 30 degrees up to 360 degrees (like 30, 60, 90, 120, 150, 180, 210, 140, 270, 300, 330 and 360 degrees). These are used because it is quite simple to remember how big they are. The 45 degree multiples divide a circle into eighths, and the 30 degree multiples divide a circle into twelfths.

3. The easiest strategy is to use the angle benchmarks to identify approximately where the angle is