a parallelogram which has a line of symmetry is a rectangle true or false​

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a parallelogram which has a line of symmetry is a rectangle
true or false​

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Ngọc Hoa 5 years 2021-07-25T08:57:49+00:00 1 Answers 89 views 1

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  1. Nick
    0
    2021-07-25T08:59:48+00:00
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    Answer: False

    Explanation:

    If a parallelogram has a line of symmetry through each pair of opposite sides, then we have a rectangle.

    But if a parallelogram has a line of symmetry through each pair of opposite vertices, then we have a rhombus.

    A square is a combination of both cases above.

    The statement “A parallelogram which has a line of symmetry is a rectangle” is sometimes true. Overall its false because it implies that all parallelograms with this property are automatically a rectangle.

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