Which of the following figures could have both line symmetry and rotational symmetry? Select all that apply sq

Question

Which of the following figures could have both line symmetry and rotational symmetry? Select all that apply square, regular octagon, isosceles triangle, trapezoid, equilateral triangle, rectangle

GPT-5 mini · Answer

Answer: square, regular octagon, equilateral triangle, rectangle.

Why:
- Square: has reflection axes and rotational symmetry of order 4 (90° rotations).
- Regular octagon: has reflection axes and rotational symmetry of order 8.
- Equilateral triangle: has 3 reflection axes and rotational symmetry of order 3 (120° rotations).
- Rectangle (non-square): has 2 reflection axes and rotational symmetry of order 2 (180°).

(Isosceles triangle has reflection symmetry but no nontrivial rotational symmetry; a trapezoid in the usual sense has neither both — only a special case that is a parallelogram/rectangle would have both.)

Which of the following figures could have both line symmetry and rotational symmetry? Select all that apply square, regular octagon, isosceles triangle, trapezoid, equilateral triangle, rectangle

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