Jason is trying to prove that this quadrilateral is a rhombus. Using the slope formula, he finds that opposite sides of the poly

Question

3 years ago

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Jason is trying to prove that this quadrilateral is a rhombus. Using the slope formula, he finds that opposite sides of the poly

gon 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

Mathematics

2 answers:

daser333 [38] · Answer 1 · 2022-04-02T12:13:18+03:00

Answer:

No, it is not.

Step-by-step explanation:

Proving the opposite sides are parallel is the correct first step. If the quadrilateral is not a parallelogram, it cannot be a rhombus.

After knowing the quadrilateral is a parallelogram, we must know whether the sides are congruent. To do this, we must use the distance formula to find the length of each side.

Hunter-Best [27] · Answer 2 · 2022-04-02T10:11:39+03:00

Opposite sides being parallel proves that hte figure is a parallelogram. The sides only appear to be equal so his conclusion is not valid. He would need to show that 2 adjacent sides of the parallelogram are equal ( using the distance formula) to prove that it is a rhombus.