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Mathematics

Which of the following statements is false?

  1. Every equilateral triangle is an isosceles triangle.

  2. Every isosceles triangle is an equilateral triangle.

  3. Every parallelogram is a trapezium.

  4. Every trapezium is a quadrilateral.

Triangles

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Answer

  1. Every equilateral triangle is an isosceles triangle — True (it has at least two equal sides).

  2. Every isosceles triangle is an equilateral triangle — False (isosceles only has 2 sides equal; equilateral has all 3 sides equal).

  3. Every parallelogram is a trapezium — True (it has at least one pair of parallel sides).

  4. Every trapezium is a quadrilateral — True (it has 4 sides).

Hence, option 2 is the correct option.

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