Ask Question
24 May, 10:34

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?

+2
Answers (2)
  1. 24 May, 10:42
    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. 24 May, 10:48
    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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers