2.6 line symmetry

Look at the shapes below. The the opposite of the shape on the left and also its relationship to the shape on the right have the right to be believed of in 2 ways:

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

You are watching: Which figure has exactly three lines of symmetry?

Imagine a mirror put along the central dotted line. The enjoy in the mirror offers the other fifty percent of the shape.



The dashed lines represent lines the symmetry, and each form is claimed to it is in symmetrical around this line.

The following all have actually line symmetry:


A shape deserve to have much more than one heat of symmetry. Thus a rectangle has two present of symmetry, an it is intended triangle has three lines of symmetry, and a square has actually four.


A circle has an infinite variety of lines of symmetry since it have the right to be folded around any diameter. Only eight that the feasible lines of the contrary are suggested below.


Some shapes, such as a scalene triangle, have no currently of the contrary – the is not possible to fold the shape around a heat so the the 2 halves fit precisely on optimal of one another.

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