Question

Jason is trying to prove that this quadrilateral is a rhombus. Using the slope formula, he finds that opposite sides of the polygon are parallel. Since all of the sides appear to be congruent, Jason concludes that ABCD is a rhombus. Is Jason's reasoning correct? Why or why not?​

Answer 1

incorrect; Jason must also prove that all sides are congruent by using the distance formula.

Step-by-step:

By definition, a rhombus has two pair of parallel sides and all sides are congruent. Jason must use the distance formula in a formal algebraic proof to prove that all sides are congruent. Just looking at the graph is not sufficient proof.