2.6 line symmetry

Look at the forms below. The the contrary of the form on the left and also its relationship to the form on the right have the right to be believed of in two ways:

Fold the left-hand form along the main line. Climate one side lies exactly on optimal of the other, and also gives the shape on the right.

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

Imagine a mirror placed along the central dotted line. The have fun in the mirror provides the other fifty percent of the shape.


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The dashed lines represent lines that symmetry, and also each form is said to be symmetrical around this line.

The complying with all have line symmetry:


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A shape can have much more than one line of symmetry. Hence a rectangle has two present of symmetry, an it is intended triangle has three present of symmetry, and a square has four.


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A circle has an infinite variety of lines of symmetry since it can be folded about any diameter. Only eight the the possible lines of the contrary are indicated below.


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Some shapes, such as a scalene triangle, have no present of symmetry – the is not feasible to wrinkles the shape around a heat so the the 2 halves fit precisely on top of one another.


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