2.6 heat symmetry

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

Fold the left-hand shape along the central line. Then one next lies precisely on peak of the other, and gives the shape on the right.

You are watching: What triangle has 3 lines of symmetry

Imagine a mirror inserted along the main dotted line. The enjoy in the mirror gives the other fifty percent of the shape.


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

The adhering to all have line symmetry:


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


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A circle has actually an infinite variety of lines the symmetry because it have the right to be folded around any diameter. Just eight that the possible lines of symmetry are shown below.


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Some shapes, such as a scalene triangle, have actually no present of the opposite – the is not feasible to fold the shape about a line so that the 2 halves fit specifically on peak of one another.


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