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# LINES OF SYMMETRY

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## Tahiyat Islam

on 12 February 2013

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#### Transcript of LINES OF SYMMETRY

LINES OF SYMMETRY THREE SIDED SHAPES A equilateral triangle has three lines of symmetry. It is able to fold vertically and diagonally both ways, but unable to fold horizontally. When this shape is folded horizontally, the two sides are NOT hidden therefor this shape only has three lines of symmetry. Since all the sides of a scalene triangle are all unequal, the shape would have absolutely NO lines of symmetry. An isosceles triangle has one line of symmetry. It is able to fold vertically but not horizontally. For a shape to have a line of symmetry, both sides of the shape need to hide each other. However when this shape is folded horizontally the two sides do not hide each other which means this shape only has one line of smmetry. FOUR SIDED SHAPES (QUADRILATERALS) A square has four lines of symmetry. Since all the sides are equal, the square can fold vertically, horizontally and diagonally both ways while hiding both sides. A rectangle has two lines of symmetry. It is able to fold horizontally and vertically. A parallelogram has no lines of symmetry. Even though it may appear that a parallelogram has a line of symmetry it doesn't! When it is folded vertically, horizontally, and diagonally the two sides of the shape do not hide each other which means no lines of symmetry. A kite has one line of symmetry. When the shape is folded vertically, both sides are hidden. However when the shape is folded horizontally, both sides are NOT hidden therefor there is only one line of symmetry. A trapezoid only has one line of symmetry. It is only able to fold horizontally. A rhombus has two lines of symmetry. In this picture the lines of symmetry appear when the shape is folded vertically or horizontally. When the shape is folded diagonally both sides are NOT hidden which means this shape only has two lines of symmetry. Irregular quadrilaterals have NO lines of symmetry. Due to all of the sides being different lengths, no two sides would ever hide each other, therefor no lines of symmetry. FIVE-SIDED SHAPES A pentagon has five lines of symmetry. It can fold vertically,horizontally, and diagonally,while hiding both sides. SIX-SIDED SHAPES A hexagon has six lines of symmetry. It is able to fold vertically, horizontally, and diagonally with both sides hidden. SEVEN- SIDED SHAPES A heptagon has seven lines of symmetry.Since all the side lengths are equal, the shape is able to fold vertically, horizontally and diagonally. EIGHT-SIDED SHAPE An octagon has eight lines of symmetry because there are eight sides and they are all equal. NINE-SIDED SHAPE A nonagon has nine lines of symmetry due to all its sides being equal. It is able to fold vertically, horizontally, and diagonally. CIRCLE A circle can have an infinite number of lines of symmetry.
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