Question

question 5 points 2 which of the following figures does not have rotational symmetry? pentagon octagon circle square pentagon octagon circle square

Explanation:

To determine which figure lacks rotational symmetry, we analyze each:

• Octagon: A regular octagon has rotational symmetry (angle = \( \frac{360^\circ}{8} = 45^\circ \)).
• Circle: A circle has infinite rotational symmetry (rotates to match itself at any angle).
• Square: A regular square has rotational symmetry (angle = \( \frac{360^\circ}{4} = 90^\circ \)).
• Pentagon (the given figure appears to be an irregular pentagon, not a regular one). A regular pentagon does have rotational symmetry, but the diagram shows a non - regular (e.g., a diamond - shaped pentagon - like figure) that lacks rotational symmetry (rotating it would not map it onto itself). Among the options, the selected “Pentagon” (as per the diagram’s irregular shape) is the one without rotational symmetry.

Answer:

A. Pentagon