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Question
4/10 which statement is false? a parallelogram ________
has diagonals that are perpendicular
has 2 sets of parallel sides
has diagonals that bisect each other
gavin rivalo
Brief Explanations
- Recall the properties of a parallelogram: A parallelogram is defined as a quadrilateral with 2 sets of parallel sides (so the blue option is true). The diagonals of a parallelogram bisect each other (so the orange option is true).
- For the diagonals being perpendicular: This is a property of a rhombus (a special type of parallelogram), but not all parallelograms have perpendicular diagonals. For example, a rectangle is a parallelogram, and its diagonals are equal but not perpendicular (unless it's a square, which is a special case). So the statement "Has diagonals that are perpendicular" is false for a general parallelogram.
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A. Has diagonals that are perpendicular