four parallel lines are drawn in a rectangular sign. the sign is painted using two colors in an alternating…

four parallel lines are drawn in a rectangular sign. the sign is painted using two colors in an alternating pattern, as shown. which statements must be true about the two congruent, shaded figures? select two options. the figures are rectangles because they are formed inside a rectangle. the figures are rhombi because they are formed by four congruent line segments. the figures are trapezoids because each has exactly one pair of parallel sides. the figures are parallelograms because their opposite sides are parallel. the figures are quadrilaterals because each has four sides.

four parallel lines are drawn in a rectangular sign. the sign is painted using two colors in an alternating pattern, as shown. which statements must be true about the two congruent, shaded figures? select two options. the figures are rectangles because they are formed inside a rectangle. the figures are rhombi because they are formed by four congruent line segments. the figures are trapezoids because each has exactly one pair of parallel sides. the figures are parallelograms because their opposite sides are parallel. the figures are quadrilaterals because each has four sides.

Answer

Brief Explanations:

  1. Un rectángulo se define por ángulos rectos, y no se puede asegurar que los ángulos de las figuras sombreadas sean rectos solo porque están dentro de un rectángulo, entonces la primera opción es falsa.
  2. Un rombo se define por lados congruentes, y no se dice nada sobre la congruencia de los lados de las figuras sombreadas en términos de longitud, entonces la segunda opción es falsa.
  3. Las figuras sombreadas tienen dos pares de lados paralelos, no uno solo, entonces no son trapecios.
  4. Según la definición de paralelogramo (figura con lados opuestos paralelos), las figuras sombreadas son paralelogramos ya que se forman con líneas paralelas.
  5. Todas las figuras sombreadas son cuadrila terales porque tienen cuatro lados, que es la definición básica de un cuadrilátero.

Answer:

D. The figures are parallelograms because their opposite sides are parallel. E. The figures are quadrilaterals because each has four sides.