Write an indirect proof in paragraph form.

Given: $\overline{OJ}\cong \overline{OK};\overline{JE}\ne \overline{KE}$

Prove: $\overrightarrow{OE}$doesn't bisect $\angle JOK$

An indirect proof is a proof wherein you begin by assuming temporarily that the desired conclusion is not true which then by reasoning logically reaches to a certain contradiction or some other known fact.

1. Assume temporarily that the conclusion is not true.

2. Reason logically until you reach a contradiction.

3. Point out that the assumption was wrong and the conclusion must then be true.

Consider the following: $\overline{OJ}\cong \overline{OK};\overline{JE}\ne \overline{KE}$.

In order to write an indirect proof to prove that $\overrightarrow{OE}$doesn't bisect $\angle JOK$assume temporarily that the conclusion above is untrue.

Proof: Assume temporarily that$\overrightarrow{OE}$ does bisect $\angle JOK$.

For this,$\Delta JOK$ and$\Delta KOE$ should be congruent by the SSS axiom.

However, it cannot be proved that they are congruent as it is given that $\overline{JE}\cancel{\cong }\overline{KE}$.

Hence, $\angle 1\ne \angle 2$.

Therefore, it is proved that $\overrightarrow{OE}$doesn’t bisect $\angle JOK$.