Which statements are true? Check all that apply.If a figure has point symmetry, it also must have rotational symmetry.If a figure has rotational symmetry, it also must have point symmetry.If a figure has point symmetry, it also must have 4-fold reflectional symmetry.All parallelograms have point symmetry.A triangle never has point symmetry.

Point symmetry means a figure matches itself after a 180° rotation, so any figure with point symmetry has rotational symmetry (A). Every parallelogram has point symmetry about the intersection of its diagonals, which makes D true. A triangle cannot match itself after a 180° rotation, so E is true. Rotational symmetry alone does not guarantee point symmetry: for example, an equilateral triangle matches after a 120° rotation but not after a 180° rotation. Thus B is false, and point symmetry does not require four-fold reflectional symmetry, so C is false.

AI-written and checked against the verified answer.