Question
Identify the figure that has rotational symmetry.(1 point)
Responses
a rectangle
a rectangle
a trapezoid
a trapezoid
an irregular pentagon
an irregular pentagon
a parallelogram
Responses
a rectangle
a rectangle
a trapezoid
a trapezoid
an irregular pentagon
an irregular pentagon
a parallelogram
Answers
GPT-4o mini
A parallelogram has rotational symmetry.
Rotational symmetry means that a shape can be rotated around a center point by a certain angle and still look the same. A parallelogram can be rotated 180 degrees and remain unchanged.
In contrast:
- A rectangle has rotational symmetry of 180 degrees, but it is also a specific case of a parallelogram.
- A trapezoid generally does not have rotational symmetry unless it is an isosceles trapezoid, but that is not implied with just "a trapezoid."
- An irregular pentagon typically does not have any rotational symmetry.
So, the best answer from the options is a parallelogram, although a rectangle is also correct; however, for the sake of identifying a figure with clear and defined rotational symmetry, the parallelogram is the most accurate selection.
Rotational symmetry means that a shape can be rotated around a center point by a certain angle and still look the same. A parallelogram can be rotated 180 degrees and remain unchanged.
In contrast:
- A rectangle has rotational symmetry of 180 degrees, but it is also a specific case of a parallelogram.
- A trapezoid generally does not have rotational symmetry unless it is an isosceles trapezoid, but that is not implied with just "a trapezoid."
- An irregular pentagon typically does not have any rotational symmetry.
So, the best answer from the options is a parallelogram, although a rectangle is also correct; however, for the sake of identifying a figure with clear and defined rotational symmetry, the parallelogram is the most accurate selection.