2.6 line symmetry

Look at the forms below. The the contrary of the form on the left and its partnership to the form on the right deserve to be thought of in two ways:

Fold the left-hand shape along the central line. Climate one next lies exactly on top of the other, and gives the shape on the right.

You are watching: Shapes with no lines of symmetry

Imagine a mirror put along the central dotted line. The enjoy in the mirror gives the other half of the shape.


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The dashed lines stand for lines of symmetry, and each shape is said to it is in symmetrical around this line.

The adhering to all have line symmetry:


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A shape have the right to have an ext than one heat of symmetry. Thus a rectangle has two present of symmetry, an it is intended triangle has three currently of symmetry, and also a square has actually four.


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A circle has actually an infinite number of lines of symmetry since it have the right to be folded about any diameter. Just eight that the feasible lines of the opposite are indicated below.


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Some shapes, such together a scalene triangle, have no lines of symmetry – the is not possible to wrinkles the shape around a line so the the 2 halves fit specifically on height of one another.


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