6. The following statement is an example of inductive . Discuss with your partner which type of reasoning best reasoning. describes the type that was used in the warm-up. Summarize your discussion. All small dogs in the park today have blue collars. Therefore, all small dogs have blue collars. Discuss with your partner if it is possible that there existed a scenario that could have led to the conclusion Write a short explanation. Much of the reasoning that will be used in geometry is deductive reasoning. Deductive reasoning needs to be used to prove the following statement is true A counterexample is a statement that disproves a All numbers ending in 0 or 5 are divisible by 5. conjecture . To verify that all numbers that end in 0 or 5 are divisible by 5 would require more than the method of verifying and modifying conjectures. When trying to show that something 7. Write a counterexample that would disprove "all small works for all cases, deductive reasoning should be used. dogs have a blue collar." Unit 2: Proofs and Logic