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Here are the types of triangles and their axes of symmetry:
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1. The triangle has sides of lengths , , and . Since all three sides are equal, it is an equilateral triangle. An equilateral triangle has 3 axes of symmetry. Each axis passes through a vertex and the midpoint of the opposite side.
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2. The triangle has sides of lengths , , and . Since all three sides are of different lengths, it is a scalene triangle. A scalene triangle has no axes of symmetry.
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3. The triangle has sides of lengths , , and . Since two sides are equal ( and ), it is an isosceles triangle. An isosceles triangle has 1 axis of symmetry. This axis passes through the vertex between the two equal sides and the midpoint of the base ( side).
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