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6 June, 07:47

claire thinks that if she draws a parallelogram with 2 congruent sides, it must be a rhombus. Jacob that she would need to draw a parallelogram with at least 3 congruent sides before she could be sure it was a rhombus. who is correct, if anyone, and why?

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  1. 6 June, 09:11
    0
    Answer with explanation:

    A rhombus has all sides equal that is four congruent sides.

    Statement of Claire

    If she draws a parallelogram with 2 congruent sides, it must be a rhombus.

    As Rhombus has four Congruent sides. 2 Congruent sides does not Guarantee that the Parallelogram will be Rhombus. If Adjacent sides are congruent than Claire statement will be right otherwise not.

    Statement of Jacob

    If Jacob draws a parallelogram with at least 3 congruent sides, it must be a rhombus.

    Yes, three congruent sides Guarantees that Parallelogram will be a rhombus because in a Parallelogram opposite sides are equal to each other. So congruency of three sides in a Parallelogram guarantees that this Parallelogram will be a rhombus.

    So, we can Conclude that Jacob is correct.
  2. 6 June, 10:43
    0
    See below.

    Step-by-step explanation:

    Neither are correct: a parallelogram with 3 congruent sides could be a square. Also a parallelogram will have 2 pairs of congruent sides but it does not have to be a rhombus.
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