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Pregunta 120

A parallelogram has sides of 7 centimetres and 4 centimetres, and none of its angles is a right angle, so it is neither a rectangle nor a rhombus. Select all the statements that are true about the symmetry of this shape.

  1. It has 2 lines of symmetry, matching the order of its rotational symmetry.
  2. It has no lines of symmetry at all.Respuesta correcta
  3. It has 4 lines of symmetry, because its opposite sides are equal in length.
  4. Turning it half a full turn about its centre leaves it looking the same, so its rotational symmetry has order 2.Respuesta correcta

Explicación

Every fold of a slanted parallelogram sends one sloping side onto the other the wrong way round, so no fold makes the halves match. Turning the shape is a different kind of symmetry from folding it, and having a turn that works is no reason to expect a fold that does.

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Pregunta 120: A parallelogram has sides of 7 centimetres and 4… · Geometry Basics · Questena