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For each of the following quadrilaterals, select all the properties that must be true.

Question

For each of the following quadrilaterals, select all the properties that must be true.

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Solution

To properly address the question about quadrilaterals, specific properties can vary based on the type of quadrilateral. Without knowing the exact types of quadrilaterals you're referencing, I can provide general properties related to common types of quadrilaterals. Here are the key properties for various types of quadrilaterals:

  1. General Quadrilateral

    • The sum of the interior angles is 360360^\circ.
    • Opposite sides do not have to be equal.
  2. Parallelogram

    • Opposite sides are equal in length.
    • Opposite angles are equal.
    • The diagonals bisect each other.
  3. Rectangle

    • All angles are 9090^\circ.
    • Opposite sides are equal and parallel.
    • Diagonals are equal in length.
  4. Rhombus

    • All sides are equal in length.
    • Opposite angles are equal.
    • Diagonals bisect each other at right angles.
  5. Square

    • All sides are equal in length.
    • All angles are 9090^\circ.
    • The diagonals are equal in length and bisect each other at right angles.
  6. Trapezoid (Trapezium)

    • At least one pair of opposite sides is parallel.
    • The sum of the interior angles is 360360^\circ.

If you have specific quadrilaterals in mind, let me know, and I can provide a more tailored response!

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