One-Step Proof Arguments

What is a proof argument?

• The "If" part of a conditional

• The "then" part of a conditional

• A sequence of justified conclusions

• An example that disproves a statement (shows that it is false).

What is a conditional?

• The statement after the word "then"

• An "If-then" statement

• The statement after the word "if"

• The quality of being logically or factually sound; true or false

When writing a proof argument, what is ALWAYS Step 0?

• The consequent

• The conclusion

• The antecedent

• The conditional

The justification for the antecedent is ALWAYS called the...

• Justification

• Statement

• Step

• Given

Which of the following is NOT a type of justification?

• Theory

• Postulate

• Definition

• Theorem

Which conditional correctly states the Vertical Angles Theorem?

• If <1 and <2 are vertical angles, then m < 1 = m < 2

• If m < 1 = m < 2, then <1 and <2 are vertical angles

• If <1 and <2 are vertical angles, then <1 and <2 form a linear pair

• If <1 and <2 are vertical angles, then <1 is adjacent to < 2

Which statement would have the justification, "definition of right angle" ?

• m < ABC is between 0 and 90 degrees

• m < ABC is exactly 180 degrees

• m < ABC is exactly 90 degrees

• m < ABC is between 90 and 180 degrees

What justifies the last step of this problem?

• Addition Property of Equality

• Multiplication Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

What definition is provided?

"M is the point between C and D on segment CD where CM = MD"

• Definition of midpoint

• Definition of distance

• Definition of point

• Definition of segment

Which of the following postulates allows us to do the following:

• Complementary Angle Postulate

• Unique Angle Postulate

• Angle Addition Postulate

• Angle Bisector Postulate