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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°.
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 \(180^{\circ}\).
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All rectangles are parallelograms.