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REFLECTION SYMMETRY DRAWING HOW TO

When an object is reflected, there is no change in the corresponding lengths and angles of the image. The object and its image are symmetric with reference to the mirror line. If we place a mirror on a line such that the image of one side of the figure will fall exactly on the other side of the figure, then this line is called the mirror line. When a mirror is placed in the middle of a figure, if the half of the image is the same as its reflection, then it is reflection symmetry. We draw each vertex corresponding to the image part vertices, keeping the same distance from the fold line. We look at each vertex of the image and measure its distance from the fold line. You can also create symmetric figures using square grids: In this way, we have obtained a hexagon which is symmetric about two lines, hence, having two lines of symmetry. We draw the remaining two sides such that the hexagon becomes symmetric about the horizontal line. Now let us draw two more sides on the lower side of the dotted line.

Let us draw two more sides and make the figure symmetric about the vertical line.

REFLECTION SYMMETRY DRAWING HOW TO

Let us learn how to draw a hexagon with exactly two lines of symmetry.Ī hexagon has six sides so let us start with drawing two lines Some letters do not have any lines of symmetry: Did you know that some letters in the English alphabet also have lines of symmetry? We can visualize and identify the number of lines of symmetry in a given figure by finding the possible number of fold lines that can be created so that the figure is divided into two equal halves. Hence, we can say that about the line of symmetry, one part of the figure is a mirror image of the other A square has all the three lines of symmetry:įor any symmetrical figure, when we place a mirror along the line of symmetry, the reflection or the mirror image will be the same as the half of the figure.

The line of symmetry may be vertical or horizontal or slant. The line of symmetry divides the figure into two equal halves. The dotted line, which is the mirror line for a given figure is called the line of symmetry or an axis of symmetry for the figure.

Unfold the paper, and you will get a symmetric design.

Spill a few drops of ink on one-half of the side.

Take a piece of paper and fold it in half.

Follow these steps to create symmetrical figures using ink blots: We can create symmetrical figures using paper cuttings, ink blots, and ink strings. If a figure can be folded or divided into half but the two halves do not match exactly, then such a figure is called an asymmetrical figure. These images can be folded into half but the two halves do not match exactly. Now look at the following images of objects in your surroundings: We see that the image of the one side of the picture will fall exactly on the other side of the picture. When you fold them along the dotted line, one half of the drawing would fit exactly over the other half. Each half is of the same size and shape as the other half. Also, each half of the spectacles is the same as the other half. Consider the shapes of a door and a pair of spectacles and divide the shape into two halves.Īre the two halves of each shape the same? Yes! Each half of the door is the same as the other half. When you fold symmetric figures into half, one half of the drawing would fit exactly over the other half. Mirroring along an axis parallel to the x or the y (canvas) axis.We say that a figure shows symmetry when it is folded in half, where we have the left and right halves matching exactly. This answer was converted to its own PGF and its own TikZ library as part of my tikz-extensions package.Ī generalization: We want to mirror at every possible axis.īut first, a few special cases.