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5. DIG DEEPER Can a trapezoid have two lines of symmetry? Explain.

Ask by Best Blake. in the United States
Mar 12,2025

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A trapezoid cannot have two lines of symmetry because it only has one line of symmetry, which runs vertically through the midpoint of its bases.

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Bonus Knowledge

While trapezoids typically don't have two lines of symmetry, there's an exception! An isosceles trapezoid, which has non-parallel sides that are equal in length, possesses one line of symmetry that bisects the shape vertically. This axis runs from the midpoint of the top base to the midpoint of the bottom base. So, while it does have one line of symmetry, the traditional trapezoid with no constraints on sides usually don't have any symmetries at all. However, if you're feeling adventurous in geometry, imagine a creative design where a trapezoid is stylized with fancy decorations or patterns that could create the illusion of symmetry visually! Nonetheless, in classical geometry terms, a standard trapezoid just sticks to one line of symmetry.

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