Which figures have rotation symmetry? Select each correct answer

Which figures have rotation symmetry?
Select each correct answer.

a heart

a cross-like shape where all each arm is a shape of an arrow that are identical

a right angle where one leg is longer than the other

arrows going both way left and right

Which figures have rotation symmetry?
Select each correct answer.

Answer: Rotation symmetry occurs when a figure looks the same after being rotated by a certain angle. Let’s evaluate each option:

  1. A heart: Typically, a heart shape does not have rotation symmetry because it does not look the same after any non-trivial rotation.

  2. A cross-like shape where each arm is a shape of an arrow that is identical: This shape has rotation symmetry if the arms of the cross are identical arrows. If you can rotate it by certain angles (e.g., 90 degrees) and it still looks the same, then it has rotation symmetry.

  3. A right angle where one leg is longer than the other: A right angle does not have rotation symmetry because it won’t look the same after any non-trivial rotation.

  4. Arrows going both ways, left and right: This shape may have rotation symmetry if the arrows are identical and look the same after a rotation.

So, the correct answers are:

  • A cross-like shape where each arm is a shape of an arrow that is identical.
  • Arrows going both ways, left and right (if they are identical).