Symmetry of a Star of David

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t2tviking

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Hi, I got some quiz questions about symmetry which I really have not studied. With common sense, I believe I've answered the 2 first questions correctly but I'm stuck on what is meant with the third question:

Consider a Star of David (6-pointed star)

Q1: Number of rotational symmetry including the original?
A1: 6

Q2: Number of mirror symmetries, not including the original?
A2: 1 (the shape will be the same, but the top point will be the bottom point in the mirror I guess so I think 1 is the answer and not 0)

Q3: Number of different elements in the group of symmetries a Star of David?
A3:
 
Maybe you need to study the topic. I take it this is a quiz covering material you were expected to study?

Unless your Star of David looks different from mine, you've missed a lot of lines of symmetry. Maybe you can start by telling us how you understand the definition of a mirror symmetry (and maybe showing us a picture of yours and where you drew your one line).

For the last question, it will help if you tell us what you have learned about symmetry groups. Were you given any examples of this sort of question (say, for a rectangle or something)? What course is this for, and what other topics have been covered?
 
Nothing serious, it's just a quiz with random themes that aren't supposed to be ease to just google the answers of. A game to pass time in these special times where we're not urged to go outside anymore. Hence I tried to turn here when things got difficult in the math section ...

My suggested answer to Q1 was based on this: https://www.answers.com/Q/What_order_of_rotational_symmetry_does_the_Star_of_David_have

Also I tried reason abit and thought the attached drawing shows there could only be 6 possibilities.

As for the last one, I really have no idea how/where to find the answer.Capture.PNG
 
OK, this is not the sort of quiz I was assuming it was.

But it seems a little odd, because the last question is at an entirely different level than the others, which can be taught in elementary school. Where did this quiz come from?

Here is a pretty good intro to the ideas in the first two questions: https://mathbitsnotebook.com/Geometry/Transformations/TRSymmetry.html

For elements of symmetry groups, it's harder to find a good intro that wouldn't be overwhelming, without getting into 3d cases and other more advanced ideas.
 
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