Geometric Proofs and Reasoning Quiz

What type of reasoning involves making a conjecture based on observed examples?

• Logical reasoning

• Analytical reasoning

• Inductive reasoning

• Deductive reasoning

Which step in the proof process involves creating a logical chain of statements?

• State what is to be proven

• Justify each statement

• List the given information

• Create a deductive argument

In the example of a paragraph proof with vertical angles, what property is used to show that two angles are equal?

• Multiplication property

• Substitution property

• Subtraction property

• Addition property

What is the first step in writing a paragraph proof?

• Justify each statement

• Create a deductive argument

• List the given information

• State what is to be proven

In the line segment proof example, which property is used to combine line segments?

• Division property

• Multiplication property

• Addition property of equality

• Substitution property

What is a two-column proof?

• A proof using only algebraic expressions

• A proof without any logical reasoning

• A proof written in paragraph form

• A proof with statements and reasons in two columns

In a two-column proof, what is the purpose of the 'reasons' column?

• To list the given information

• To justify each statement

• To state what is to be proven

• To create a deductive argument

What is the result called once a statement or conjecture has been proven?

• Theorem

• Hypothesis

• Axiom

• Postulate

In the practice problem, what operation is performed after substituting expressions for angles Y and Z?

• Division

• Multiplication

• Subtraction

• Addition

What is the final step in the proof process?

• State what has been proven

• State what is to be proven

• List the given information

• Justify each statement