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If you take a circle for example, a line of symmetry is any line that can go through that circle and if you fold the circle in half it will be equal. So a line of symmetry is a line that you divide any shape in half with and have both halves be the same.
The diameter of a circle is the length of the circle from one side to the other, going through the middle of the circle. The radius is the measurement of length from the middle of the circle to the perimeter of the circle. This is half of the diameter.
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Half a line through a circle is called a "diameter" if it passes through the center of the circle, dividing it into two equal halves. If it does not pass through the center, it is referred to as a "chord." A diameter is the longest chord of the circle, while any chord that does not pass through the center is simply a shorter segment of the circle.
The radius