Color it in, and switch drawings with a partner. Now, think of something simple to draw using straight lines, and draw exactly half of it on one side of the folded line. Do they match?ĭrawing Using Lines of Symmetry Take a piece of grid paper and fold it along one of the grid lines. Draw half of it on one side of the line, and then complete the drawing by creating the mirror image on the other side. Fold a piece of grid paper along a line, and think of a simple image to draw. Now you try: Do the drawing activity on your own. Lastly, we learn that a circle has an infinite number of lines of symmetry if it is folded exactly through the middle. Every part of the drawing on the left side must be the same distance from the fold as the matching parts of the drawing on the right side. April draws a house and notices that if a line is 4 grid lines to the left of the fold on one side, its mirror image will be exactly 4 grid lines to the right of the fold on the other side. Finish their image by drawing the mirror image on the other side of the fold line.
Take a piece of grid paper and fold it along one of the grid lines. Now you try: Can you think of something in the real world that has two lines of symmetry? Some objects have many lines of symmetry. Then the line across is not a line of symmetry. If we draw the line across, the top half does not match the bottom half: the top has antennas but the bottom does not.
If we draw a line dividing an image of a butterfly into a left half and a right half, both sides are mirror images, so the line is a line of symmetry. So, the line drawn from top to bottom is a line of symmetry, but the line drawn from left to right is not a line of symmetry. If we try to split a face in half by drawing a line from left to right, we see that the two halves do not match: they are not mirror images. If we draw a line down the middle (from top to bottom) of a person’s or animal’s face, we can see that faces are mostly symmetrical too. The line that divides the shape is called the line of symmetry. We learn that a shape has symmetry if it can be divided by a line so that each half is a mirror image of the other. Marcos folds the paper heart in half and April notices that the two sides match. Now you try: Can you think of something in the real world that has two lines of symmetry?įaces Adesina has a red paper heart. Notice the lines of reflection intersect at the figure's center below.Adesina has a red paper heart. Multiple lines of reflectionĪ geometric figure can have more than one line of reflection.
Point A on the hexagon reflects to A' which is not on the hexagon.Ī line of symmetry is known as a rigid motion (or transformation) in geometry since the figure that is reflected across it does not change size or shape and is only "flipped" across the line of symmetry. Although the line through the vertices of the irregular hexagon below divides it into two equal parts, it is not a line of symmetry. Not all lines of reflection are also lines of symmetry just because they divide the figure into two equal parts. This is true for any point on the ellipse. When A and B are reflected across it, they are mapped to A' and B', also on the ellipse. The line that cuts through the major axis of the ellipse above is a line of symmetry. Mathematically, a line of symmetry is a line of reflection that maps any point on the figure back to the figure. In the figure below, the lines of symmetry divide the figures into mirror images. Home / geometry / line / line of symmetry Line of symmetryĪ line of symmetry is a line that divides a figure into two mirror parts.
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