Quiz--Statements, Reasoning, and Proofs

Give the Reason for #1.

• Given

• Segment Addition Property

• Addition Property of Equality

• PQ + QR = PR

• Transitive Property of Equality

Tags

CCSS.HSG.CO.B.7

If AB=BC and BC=CE then AB=CE.

• Transitive Property of Equality

• Segment Addition Postulate

• Reflexive Property of Equality

• Symmetric Property of Equality

What is the correct reason for

Reason #3?

• Definition of a Straight Angle

• Prove

• Definition of a Supplementary Angles

• Transitive Property

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

What is the answer to #4?

• Prove

• Multiplication Property

• Division Property

• Addition Property

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the Reflexive property?

• If a=b, then  a can be substituted for b in any equation or expression
• a(b+c)=ab+ac
• For any real number a, a=a .
•  If a=b, then b=a

Which property justifies step 2?

• Addition Property of Equality

• Subtraction Property of Equality

• Combine Like Terms

• Division Property of Equality

Tags

CCSS.HSA.REI.A.1

• Symmetric 

• Transitive 

• Substitution 

• Reflexive 

If it is Valentine's Day, then the month is February. What is the hypothesis (p) of this statement?

• it is not Valentine's Day

• it is Valentine's Day

• the month is not February

• the month is February

• If you are not 13, then you are a teenager.

• If you are 13, then you are not a teenager.

• If you are a teenager, then you are 13.

• If you are not a teenager, then you are not 13.

What is the conclusion (q) of the statement:

If two angles are congruent, then they have the same degree.

• they have the same degree.

• two angles are congruent

• two angles are not congruent

• they do not have the same degree.

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9