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elegir todas las propiedades que deben ser verdaderas sobre cada uno de…

Question

elegir todas las propiedades que deben ser verdaderas sobre cada uno de los siguientes cuadriláteros. (a) rombo (b) rectángulo (c) paralelogramo solo un par de lados paralelos dos pares de lados paralelos cuatro ángulos son rectos todos los lados son congruentes

Explanation:

1. "Solo un par de lados paralelos"

  • A rhombus (a) has two pairs of parallel sides. A rectangle (b) has two pairs of parallel sides. A parallelogram (c) has two pairs of parallel sides. So, none of them has only one pair of parallel sides.

2. "Dos pares de lados paralelos"

  • By definition:
  • A rhombus (a) is a quadrilateral with two pairs of parallel sides.
  • A rectangle (b) is a quadrilateral with two pairs of parallel sides.
  • A parallelogram (c) is a quadrilateral with two pairs of parallel sides.

3. "Cuatro ángulos son rectos"

  • A rectangle (b) has four right - angles. A rhombus (a) has angles that are not necessarily right - angles (except when it is a square, but a square is a special case of a rhombus and a rectangle). A parallelogram (c) has angles that are not necessarily right - angles.

4. "Todos los lados son congruentes"

  • A rhombus (a) has all four sides congruent. A rectangle (b) has opposite sides congruent. A parallelogram (c) has opposite sides congruent.

Answer:

  • "Solo un par de lados paralelos": None of (a), (b), (c)
  • "Dos pares de lados paralelos": (a) Rombo, (b) Rectángulo, (c) Paralelogramo
  • "Cuatro ángulos son rectos": (b) Rectángulo
  • "Todos los lados son congruentes": (a) Rombo