Question
A line that a figure in the plane as if the figure can be mapped onto itself by a reflection in the line
Answers
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GPT-4o mini
The line you are referring to is called the **line of symmetry**. A figure in the plane has line symmetry if it can be reflected across this line, resulting in a figure that is indistinguishable from the original. Each point on one side of the line has a corresponding point on the other side, equidistant from the line.
For example, a butterfly has a vertical line of symmetry that runs down the middle of its body, meaning that each half is a mirror image of the other. Common geometric shapes, such as squares, rectangles, and circles, also have lines of symmetry. The number and nature of these lines can vary based on the specific figure.
For example, a butterfly has a vertical line of symmetry that runs down the middle of its body, meaning that each half is a mirror image of the other. Common geometric shapes, such as squares, rectangles, and circles, also have lines of symmetry. The number and nature of these lines can vary based on the specific figure.