Question

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

Explanation:

Step 1: Analyze the property "Cuatro ángulos son rectos"

• A parallelogram (a) has opposite angles equal. Only when it is a special case (a rectangle) does it have four right - angles. A rectangle is a type of parallelogram. A rectangle (b) by definition has four right - angles. A trapezoid (c) has at most two right - angles (in the case of a right - trapezoid). So, for the property "Cuatro ángulos son rectos", we check (b).

Step 2: Analyze the property "Todos los lados son congruentes"

• A parallelogram (a) has opposite sides congruent. A rectangle (b) has opposite sides congruent. A rhombus is a special parallelogram with all sides congruent, but in general parallelograms and rectangles do not have all sides congruent. None of the given figures (a - c) always have all sides congruent.

Step 3: Analyze the property "Solo un par de lados paralelos"

• A parallelogram (a) has two pairs of parallel sides. A rectangle (b) has two pairs of parallel sides (since a rectangle is a parallelogram). A trapezoid (c) by definition has only one pair of parallel sides. So, for the property "Solo un par de lados paralelos", we check (c).

Step 4: Analyze the property "Dos pares de lados paralelos"

• A parallelogram (a) has two pairs of parallel sides by definition. A rectangle (b) is a parallelogram, so it has two pairs of parallel sides. A trapezoid (c) has only one pair of parallel sides. So, for the property "Dos pares de lados paralelos", we check (a) and (b).

Answer:

• Cuatro ángulos son rectos: (b)
• Todos los lados son congruentes: (None of the options (a - c) always satisfy this property)
• Solo un par de lados paralelos: (c)
• Dos pares de lados paralelos: (a), (b)