Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim
The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation
To show that a statement is true, you need evidence.
Take for instance:
[tex]\mathbf{if\ a^2 = 4,\ then\ a = 2}[/tex]
The evidence that the above proof is true is by taking the squares of both sides of [tex]\mathbf{a = 2}[/tex]
[tex]\mathbf{a^2 = 2^2}[/tex]
[tex]\mathbf{a^2 = 4}[/tex]
However, a counterexample does not need a proof per se.
What a counterexample needs is just an instance or example, to show that:
[tex]\mathbf{if\ a^2 = 4,\ then\ a \ne 2}[/tex]
An instance to prove that: [tex]\mathbf{if\ a^2 = 4,\ then\ a = 2}[/tex] is false is:
[tex]\mathbf{a = -2}[/tex]
Hence, the complete statement could be:
In a direct proof, evidence is used to support a proof
. On the other hand, a counterexample is a single example that shows that a proof is false.
Read more about evidence and counterexample at:
https://brainly.com/question/88496
