Math II Reasoning and Proofs

A logical argument that shows a statement is true

• Conditional Statement

• Proof

• Truth Value

• Conjecture

a type of proof written as numbered statement and corresponding reasons that show an argument in a logical order

• Proof

• two column pproof

• flow proof

• paragraph proof

If two angles are supplementary, then they have a sum of 180. Is the inverse true?

• Yes, if two angles are not supplementary, then they do not add to 180
• no, if angles don't add to 180, they can still be supplementary
• no, Supplementary angles add to 90
• yes, supplementary angles add to less than 180

What is the first step to solving the equation above?

• Use Substitution Property

• Use Addition Property

• Use Division Property

• Use Distribution Property

• subtraction property

• substitution property

• symmetric property

• reflexive property

• symmetric property

• multiplication property

• subtraction property

• distributive property

5(3x+1)=15x+5

• symmetric property

• subtraction property

• reflexive property

• distributive property

• reflexive property

• symmetric property

• subtraction property

• distributive property

Vertical angles are:

• Complimentary
• Supplementary
• Congruent
• Adjacent

What does the Linear Pair Postulate say?

• Angle 1 and Angle 2 are a linear pair

• Angle 1 + Angle 2 = 90

• Angle 1 + Angle 2 = 180

• Angle 1 = Angle 2