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Symmetry. In mathematics, especially in geometry and its applications, an object is said to have symmetry if it can be divided into two identical halves. For example, look at the given picture of a flower: If we were to draw an imaginary line in the middle of it, we could divide it into two equal parts like this:
Symmetry Examples. Example 1: If the following figure shows a reflexive line of symmetry, complete the figure. Solution: It is given that the figure has a reflexive line of symmetry. That means the second half or the missing part of the figure will be exactly the same as given on the other side.
Symmetry And Line Of Symmetry: An Introduction. In geometry, symmetry is defined as a balanced and proportionate similarity that is found in two halves of an object. It means one-half is the mirror image of the other half. The imaginary line or axis along which you can fold a figure to obtain the symmetrical halves is called the line of symmetry.
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Aug 3, 2023 · Symmetry. In mathematics, symmetry is the property that divides a geometrical shape into two identical halves. Heart shape, an equilateral triangle, and a rhombus are all examples of symmetry. Such shapes are called symmetric. Symmetry.
4 Draw a line from each vertex through the center and check for line symmetry. 5 State the number of lines of symmetry. The equilateral triangle has 3 3 lines of symmetry. An equilateral triangle has 3 3 equal sides and 3 3 equal angles, so it will have 3 3 lines of symmetry.
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts. We also call this line the axis of symmetry or mirror line because it divides the figure symmetrically, and the divided parts look like mirror reflections of each other. More line of symmetry examples are shown in the figure below.
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Symmetry in a figure exists if there is a reflection, rotation, or translation that can be performed and the image is identical. Rotational symmetry exists when the figure can be rotated and the image is identical to the original. Regular polygons have a degree of rotational symmetry equal to 360 divided by the number of sides.
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