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Question
- which of the following statements is false?○ all squares are rhombuses.○ all rectangles are quadrilaterals○ all rhombuses are parallelograms○ all quadrilaterals are trapezoids
Brief Explanations
- A square is a rhombus (all sides equal, opposite sides parallel), so this is true.
- A rectangle has 4 sides, so it is a quadrilateral; this is true.
- A rhombus has two pairs of parallel sides, so it is a parallelogram; this is true.
- A trapezoid has at least one pair of parallel sides, but many quadrilaterals (like kites with no parallel sides) do not meet this, so this statement is false.
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D. All quadrilaterals are trapezoids