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which of the following is true for a quadrilateral? its diagonals must …

Question

which of the following is true for a quadrilateral? its diagonals must bisect each other. it must have four equal side lengths. it has four sides. it must have four right angles.

Explanation:

Brief Explanations
  • For "Its diagonals must bisect each other": Only specific quadrilaterals like parallelograms (including rectangles, rhombuses, squares) have bisecting diagonals. Trapezoids or irregular quadrilaterals don't, so this is false.
  • For "It must have four equal side lengths": Only rhombuses (and squares) have four equal sides. Most quadrilaterals (e.g., rectangles, trapezoids, irregular ones) don't, so this is false.
  • For "It has four sides": By definition, a quadrilateral is a polygon with four sides. This is true.
  • For "It must have four right angles": Only rectangles (and squares) have four right angles. Trapezoids, rhombuses, and irregular quadrilaterals don't, so this is false.

Answer:

It has four sides.