1.4 Reasoning and Proof

 Holly notices that every Saturday, her neighbor mows his lawn. Today is Saturday. Holly concludes her neighbor will mow his lawn. Is this inductive or deductive reasoning?

• Inductive Reasoning

• Deductive Reasoning

Identify the property of equality.

If a = b, then a/c = b/c

• Addition

• Subtraction

• Multiplication

• Division

What is the answer to #4?

• Prove

• Multiplication Property

• Division Property

• Addition Property

Which property justifies step 2?

• Addition Property of Equality

• Subtraction Property of Equality

• Combine Like Terms

• Division Property of Equality

Underline the hypothesis and italicize the conclusion in each statement.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27

• 18,23
• 18, 24
• 17, 25
• 17, 24

Given: B is the midpoint of AC. What should you conclude?

• AB + BC = AC

• AB = BC

• A is the segment bisector of BC

• ABC is a straight angle

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 

• Deductive
• Inductive

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

• Inductive

• Deductive

A “straight” geometric object without any width or thickness and has a starting and ending point.

• Segment

• Line

• Ray

• Point