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Question
current skill $ which of the following is not true for a rectangle? its diagonals bisect each other. it is a parallelogram. it has exactly two pairs of parallel sides. its diagonals do not always bisect each other.
Step1: Recall rectangle properties
A rectangle is a type of parallelogram. In a parallelogram, diagonals bisect each other, and a parallelogram has two pairs of parallel sides. So for a rectangle:
- Diagonals bisect each other (always true).
- It is a parallelogram (true, as rectangles are special parallelograms with right angles).
- It has two pairs of parallel sides (true, since it's a parallelogram).
- The statement "Its diagonals do not always bisect each other" is false because in a rectangle (and all parallelograms), diagonals always bisect each other.
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Its diagonals do not always bisect each other.