2.6 line symmetry

Look in ~ the forms below. The the contrary of the form on the left and its relationship to the shape on the right deserve to be thought of in 2 ways:

Fold the left-hand shape along the main line. Then one side lies specifically on top of the other, and gives the form on the right.

You are watching: How many lines of symmetry does an equilateral triangle have?

Imagine a mirror placed along the main dotted line. The enjoy in the mirror offers the other half of the shape.


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The dashed lines represent lines the symmetry, and also each shape is stated to it is in symmetrical around this line.

The following all have actually line symmetry:


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A shape have the right to have an ext than one line of symmetry. Thus a rectangle has actually two lines of symmetry, an it is provided triangle has three lines of symmetry, and a square has four.


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A circle has actually an infinite variety of lines the symmetry due to the fact that it have the right to be folded about any diameter. Just eight the the feasible lines of symmetry are suggested below.


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Some shapes, such as a scalene triangle, have actually no currently of the contrary – it is not possible to wrinkles the shape about a line so the the two halves fit specifically on top of one another.


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