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Question

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which of the following statements is true?
all rectangles are parallelograms.
all rectangles are squares.
a trapezoid must have congruent sides.
every angle in a quadrilateral must be less than 180°.

Explanation:

Brief Explanations
  • A rectangle has opposite sides equal and parallel, which are the properties of a parallelogram. So all rectangles are parallelograms.
  • A square is a special rectangle with all sides equal. But not all rectangles have all sides equal, so not all rectangles are squares.
  • A trapezoid is a quadrilateral with one pair of parallel sides. It doesn't require congruent sides.
  • A concave quadrilateral has an angle greater than \(180^{\circ}\).

Answer:

All rectangles are parallelograms.