Which statement is true?

a
All quadrilaterals have at least 1 pair of parallel sides.
b
Parallelograms have 2 pairs of congruent angles.
c
A rhombus is a rectangle.
d
A trapezoid is a parallelogram.



Respuesta :

Answer: technically none

Step-by-step explanation:To determine which statement is true, let's analyze each option:  a) All quadrilaterals have at least 1 pair of parallel sides. - This statement is not true. A quadrilateral is a polygon with four sides, but not all quadrilaterals have parallel sides. For example, a kite is a quadrilateral with no parallel sides.  b) Parallelograms have 2 pairs of congruent angles. - This statement is not accurate. In a parallelogram, opposite angles are congruent, but not all angles are necessarily congruent. So, a parallelogram does not have exactly 2 pairs of congruent angles.  c) A rhombus is a rectangle. - This statement is not correct. A rhombus is a quadrilateral with all sides of equal length, but its angles are not necessarily right angles. On the other hand, a rectangle is a quadrilateral with four right angles. Therefore, a rhombus is not always a rectangle.  d) A trapezoid is a parallelogram. - This statement is not true. A trapezoid is a quadrilateral with at least one pair of parallel sides, while a parallelogram has both pairs of opposite sides parallel. So, not all trapezoids are parallelograms.  In conclusion, none of the given statements is true based on the definitions and properties of the shapes mentioned. Each statement has inaccuracies when compared to the characteristics of the respective shapes.