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 parallelogram with at least 3 congruent sides before she could be sure it was a rhombus. who is correct, if anyone, and why?

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.

Answer 2

Answer:

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.