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Task 2 Create a hexagon. Record the number of lines of symmetry you find. What is the order of rotational...

Task 2
Create a hexagon. Record the number of lines of symmetry you find. What is the order of rotational symmetry? Repeat the process with a triangle. Observe your results. Can you predict the number of lines of symmetry and the order of rotational symmetry that a 15-gon would have? What about a 100-gon?
Task 3
Polly says that a 150-gon looks almost like a circle, so a circle should have 150 lines of symmetry, an order of rotational symmetry of 150. Do you agree? Why or why not?

Answer

Task 2:

  1. A hexagon has 6 lines of symmetry and an order of rotational symmetry of 6.
  2. A triangle has 3 lines of symmetry and an order of rotational symmetry of 3.
  3. A 15-gon would have 15 lines of symmetry and an order of rotational symmetry of 15.
  4. A 100-gon would have 100 lines of symmetry and an order of rotational symmetry of 100.

Task 3:

A circle has infinite lines of symmetry and infinite order of rotational symmetry, as it can be rotated by any angle and still look the same. Therefore, while a 150-gon may look similar to a circle, it does not have infinite symmetry like a circle does. So, I do not agree with Polly's statement.

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