How many lines of symmetry does an isosceles triangle have?

An isosceles triangle is a unique shape in the world of geometry, primarily defined by having two sides of equal length. This characteristic not only gives it a distinct appearance but also determines its symmetry properties.

In terms of lines of symmetry, an isosceles triangle has exactly one line of symmetry. This line runs from the apex (the vertex opposite the base) perpendicular to the base, effectively dividing the triangle into two mirrored halves. Because the two sides are equal, this line reflects both sides perfectly, showcasing the symmetrical nature of the isosceles triangle.

To visualize this, imagine drawing a vertical line that goes from the top point of the triangle straight down to the midpoint of the base. This line serves as a perfect divider, demonstrating how both halves of the triangle look the same when folded along this line.

In summary, an isosceles triangle has one line of symmetry, making it an interesting and beautiful shape in geometry.

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