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?

Question

Mathematics

Victor Randolph

22 April, 14:14

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?

+5

Answers (2)

Know the Answer?

Plato · Answer 1

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.

Rebel · Answer 2

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.