Exploring Two-Column Proofs and Axiomatic Systems

What is the main type of proof used in geometry?

• Flowchart proof

• Two-column proof

• Indirect proof

• Paragraph proof

What is a proof in mathematics?

• A geometric figure

• A set of numbers

• A complex equation

• A convincing mathematical argument

Which property is NOT part of the properties of equality?

• Addition property

• Subtraction property

• Multiplication property

• Exponentiation property

What is the correct justification for subtracting a number from both sides of an equation?

• Subtraction operation

• Subtraction property of equality

• Subtraction principle

• Subtracted number from both sides

Which of the following is an undefined term in geometry?

• Triangle

• Circle

• Point

• Angle

How is a line represented in geometry?

• An infinite number of points with arrowheads

• A circular dot

• A finite segment

• A four-sided figure

What is a postulate in geometry?

• A proven theorem

• A complex equation

• A statement assumed to be true

• A geometric figure

What is a theorem?

• An undefined term

• A postulate

• A statement that can be proved

• A geometric figure

What should you do before starting to write a geometric proof?

• Plan out your logic

• Skip the given information

• Write the conclusion first

• Mark the prove statement on the diagram

What is the purpose of using deductive reasoning in geometric proofs?

• To create a chain of logical steps

• To guess the conclusion

• To simplify the problem

• To avoid using diagrams