Question

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

Explanation:

Step1: Analyze "Todos los lados son congruentes"

• A trapezoid (a) has no requirement for all sides to be congruent.
• A square (b) has all four sides equal (congruent).
• A parallelogram (c) has opposite sides congruent, not all sides necessarily congruent. So, only (b) applies.

Step2: Analyze "Solo un par de lados paralelos"

• A trapezoid (a) is defined as a quadrilateral with exactly one pair of parallel sides.
• A square (b) has two pairs of parallel sides.
• A parallelogram (c) has two pairs of parallel sides. So, only (a) applies.

Step3: Analyze "Dos pares de lados paralelos"

• A trapezoid (a) has one pair of parallel sides.
• A square (b) has two pairs of parallel sides (as it is a special parallelogram).
• A parallelogram (c) has two pairs of parallel sides by definition. So, (b) and (c) apply.

Step4: Analyze "Cuatro ángulos son rectos"

• A trapezoid (a) has no requirement for all angles to be right - angles.
• A square (b) has four right - angles.
• A parallelogram (c) has opposite angles equal, but not necessarily right - angles (a rectangle is a special parallelogram with right - angles, but a general parallelogram does not). So, only (b) applies.

Answer:

• For "Todos los lados son congruentes": (b) Cuadrado
• For "Solo un par de lados paralelos": (a) Trapecio
• For "Dos pares de lados paralelos": (b) Cuadrado, (c) Paralelogramo
• For "Cuatro ángulos son rectos": (b) Cuadrado