SOLUTION: what is a letter of the alphabet that has Rotational symmetry but not reflexive symmetry and a letter of the alphabet that has reflexive but not rotational symmetry.

Algebra ->  Angles -> SOLUTION: what is a letter of the alphabet that has Rotational symmetry but not reflexive symmetry and a letter of the alphabet that has reflexive but not rotational symmetry.      Log On


   

Question 1137250: what is a letter of the alphabet that has Rotational symmetry but not reflexive symmetry
and a letter of the alphabet that has reflexive but not rotational symmetry.
Found 2 solutions by jim_thompson5910, ikleyn:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Question: What is a letter of the alphabet that has Rotational symmetry but not reflexive symmetry?

Answer: The letter S

Further explanation: We can rotate this letter 180 degrees so that the new image matches with its original. We cannot draw a straight line in any fashion that it forms a mirror line to have one half match with the other. So that is why this letter does not have reflexive symmetry.

---------------------------------------------------------------------------------------------------------------------

Question: What is letter of the alphabet that has reflexive but not rotational symmetry?

Answer: The letter M

Further explanation: Draw a vertical line through the center. This line is a mirror line to reflect one half of the letter over to land on the other half, or you can think of folding a piece of paper so that one half matches with the other half. If we tried rotating the letter M, some number of degrees x such that 0 < x < 360, then this new image would not match up with the old original one. This shows there isn't any rotational symmetry for this letter.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
.  Letter " H " has reflexive symmetry.

   In its simplest font attribute, it has rotational symmetry, too.



.  Letter " I ", in its simplest font attribute, has both rotational and reflexive symmetries.



.  Letter " N " has rotational symmetry, but has no reflexive symmetry.



.  Letter " O " has both rotational and reflexive symmetries.



.  Letter " T " has reflexive symmetry, but has no rotational symmetry.



.  Letter " V " has reflexive symmetry, but has no rotational symmetry.



.  Letter " W " has reflexive symmetry, but has no rotational symmetry.



.  Letter " X " has both reflexive and rotational symmetries.



.  Letter " Y " has reflexive symmetry, but has no rotational symmetry.



.  Letter " Z " has rotational symmetry, but has no reflexive symmetry.