Final answer:
A persuasive speaker relying on arguments, reasoning, and evidence is utilizing Logos, which appeals to the audience's logic and intelligence through the use of facts and credible evidence.
Step-by-step explanation:
A persuasive speaker relying on arguments, reasoning, and evidence to support claims is utilizing what type of persuasive proof? The answer is a. Logos. Logos, or logical appeal, involves the use of credible information, such as facts, reasons, and examples, that moves toward a sensible and acceptable conclusion. This type of persuasive proof relies on strong and sound reasoning and is often supported by statistics and credible evidence with the goal of appealing to the audience's intelligence and logical thinking.
To support your position with critical thinking and clear, credible evidence, it is essential to use respected, reliable sources that are properly attributed. By doing so, the speaker or writer can make a case more persuasively by appealing to the audience's sense of logic and encouraging them to come to a reasonable conclusion based on the presented facts.