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This page will helps you to understand the concepts of symmetry, lines of symmetry, types of symmetry along with example alphabets A to Z ,numbers 0 to 9 and major geometry shapes. Definition Symmetry : The dotted line divides the figure into two identical parts.
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.
- Lines of Symmetry of Triangles
- Lines of Symmetry of A Square
- Lines of Symmetry of A Rectangle
- Lines of Symmetry of A Rhombus
- Lines of Symmetry of A Parallelogram
- Lines of Symmetry of A Kite
- Lines of Symmetry on A Trapezium
- Lines of Symmetry of A Pentagon
- Lines of Symmetry of A Hexagon
- Lines of Symmetry on An Octagon
Equilateral triangles have 3 lines of symmetry, which each pass through each corner to the middle of the opposite side. Isosceles triangles have 1 line of symmetry, which is directly between the two equal sides and equal angles. Scalene triangles have no equal sides and so, they have no lines of symmetry.
A square has 4 lines of symmetry. There are 2 lines of symmetry passing from each corner to the opposite corner. There are a further 2 lines of symmetry passing through the middle of each side to the middle of the opposite side.
A rectangle has 2 lines of symmetry. These lines pass from the middle of each side to the middle of the opposite side. There are no lines of symmetry passing through the diagonals of the rectangle. The diagonals of a rectangle are not lines of symmetry. We can see that the diagonals of a rectangle are not lines of symmetry.
A rhombus has 2 lines of symmetry. These lines of symmetry pass through the diagonals of the rhombus, from each corner to the opposite corner. Here are the 2 lines of symmetry of a rhombus.
A parallelogram has 0 lines of symmetry. This is because the diagonals of a parallelogram are not symmetrical. If we fold a parallelogram along its diagonals, it will not fold exactly in half without overlap.
Every kite has one line of symmetry. This line of symmetry passes vertically down the centre of the kite.
Trapeziums have no lines of symmetry unless they are isosceles trapeziums which have 1 line of symmetry. This means that a trapezium only has a line of symmetry if both of its diagonal sides are the same length. In this case, the line of symmetry passes directly between the 2 diagonal sides.
A regular pentagon has 5 lines of symmetry. Each line of symmetry passes from each of the 5 corners, through the centre of the pentagon to the middle of the opposite side. Here are the 5 lines of symmetry shown on a regular pentagon.
A regular hexagon has 6 lines of symmetry. 3 lines of symmetry pass from each of the corners to the opposite corner. The other 3 lines of symmetry pass from the middle of each side to the middle of the opposite side. Here are the lines of symmetry of a regular hexagon.
A regular octagon has 8 lines of symmetry. 4 lines of symmetry pass from each of the corners to the opposite corner. The other 4 lines of symmetry pass from the middle of each side to the middle of the opposite side. Here are the lines of symmetry on a regular octagon.
1. An isosceles triangle has one line of symmetry along the median through the vertex between equal sides. Median PM is a line of symmetry of isosceles triangle PQR as PQ = PR in the above figure. 2. A rectangle has two lines of symmetry-along the line segments joining the mid-points of the opposite sides.
The line of symmetry also known as a mirror line is a line that divides an object into two identical pieces. Here, we have a square and we can fold it into two equal halves. When a figure is folded in half, along its line of symmetry, both the halves match each other exactly. This line of symmetry is called the axis of symmetry.
Example 2: a rectangle (lines of symmetry) Locate the center of the 2D shape. Show step. Draw a small x x in the center of the square (this does not have to be exact). This is also known as the central point of the shape. Draw a horizontal and/or vertical line of symmetry through the center of the shape. Show step.
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Example 3: using angles. Show that the hexagon below has no lines of symmetry. Locate the centre of the 2D shape. Show step. Draw a small x x in the centre of the hexagon (this does not have to be exact): Use a ruler to visualise a horizontal and/or vertical line of symmetry through the centre of the shape. Show step.
![Line of Symmetry of Regular Polygon [with Formula and Examples]](https://ca.images.search.yahoo.com/search/images?p=which+shape+has+a+line+symmetry+with+x+and+z&ei=UTF-8&th=101.9&tw=101.9&imgurl=https%3A%2F%2Fd1avenlh0i1xmr.cloudfront.net%2Flarge%2F0066d574-f25f-4b5b-9582-f44f0bc96ce6%2Fslide47.jpg&rurl=https%3A%2F%2Fwww.teachoo.com%2F12662%2F3444%2FLine-of-Symmetry---Regular-Polygon%2Fcategory%2FFigures-with-more-than-one-lines-of-symmetry%2F&size=62KB&name=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&oid=3&h=945&w=945&turl=https%3A%2F%2Ftse1.mm.bing.net%2Fth%3Fid%3DOIP.US3nRBGwOdl1ZquMbduEpAHaHa%26pid%3DApi%26rs%3D1%26c%3D1%26qlt%3D95%26w%3D101%26h%3D101&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=90d2S2UWd7_w&sigi=wVO.NVfNNYz8&sign=V1iVJdddM5bT&sigt=V1iVJdddM5bT "Line of Symmetry of Regular Polygon [with Formula and Examples]")
