11/13/2023 0 Comments Lines of symmetry in art![]() Lines of symmetry in a polygonĪ regular polygon always has the same number of lines of symmetry as it does sides. As long as a given line passes through the center of the circle, it is a line of symmetry. The figure above just shows a few lines of symmetry. One line of symmetryĪn isosceles triangle has one line of symmetry:Ī rectangle has two lines of symmetry: a horizontal and a vertical line of symmetry.Īn equilateral triangle has three lines of symmetry:Ī circle has infinite lines of symmetry since any line drawn through its center will divide the circle into identical halves. For a paralellogram, we would have to reflect half and then rotate it in order for it to perfectly overlap, so it has no lines of symmetry. No lines of symmetryĪ parallelogram has no lines of symmetry because there is no line that can divide it such that the two halves will be mirror images.Įven though the two halves would have the exact same shape, to be a line of symmetry, reflecting one half across the line must cause the half to perfectly overlap the other half. Consider the following two-dimensional shapes. If an object has multiple lines of symmetry, all the lines of symmetry intersect at the center of the object. Number of lines of symmetryĪn object can have multiple lines of symmetry. The square above is divided into two identical halves by a diagonal line of symmetry. Below is a diagonal line of symmetry example: Diagonal line of symmetryĪ diagonal line of symmetry is a diagonal line that divides an object into two identical halves. The square above is divided into two identical halves by a horizontal line of symmetry. Below is a horizontal line of symmetry example: Horizontal line of symmetryĪ horizontal line of symmetry is a horizontal line that divides an object into two identical halves. The figure above shows an isosceles triangle that is divided into two identical halves by a vertical line of symmetry. Below is a vertical line of symmetry example: Vertical line of symmetryĪ vertical line of symmetry is a vertical line that divides an object into two identical halves. Generally, there are a few different types of lines of symmetry: vertical, horizontal, and diagonal. Specifically, it is a vertical line of symmetry. The dotted red line is therefore a line of symmetry. In the above figure, folding the left half of the square over the red dotted line results in the left half perfectly overlapping with the right half of the square. Another way to think about this is: if a figure can be folded over a line such that each half perfectly overlaps, the line is a line of symmetry. The figure below shows 3 line of symmetry examples.Ī line of symmetry is defined as an imaginary line that divides an object into two identical (symmetrical) halves. Home / geometry / line / line of symmetry Line of symmetryĪ line of symmetry is a line that divides a figure into two identical parts.
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