Reasoning & Proof

What is the hypothesis of the following conditional:
If you do your homework, then you will pass your test.

• You will pass your test
• You do your homework
• If you do your homework you will pass your test
• You fail your test

Tags

CCSS.HSS.CP.B.6

Conditional: If Mary gets married, then the reception will be at the country club.
What is this statement: If the reception is not at the country club, then Mary won't be getting married.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.HSS.CP.A.1

Which is a counterexample of: If a four sided shape has four sides the same length, then it must be a square.

• quadrilateral
• rectangle
• rhombus
• square

Tags

CCSS.HSG.CO.C.11

Given
 “If Jason plays basketball, then Steve sits on the bench.   If Steve sits on the bench, then Ronald starts at center.”    
 Which of the following is a valid statement?

• If Steve sits on the bench then Jason plays basketball.
• If Ronald starts at center then Jason plays basketball.
• If Steve sits the bench then Ronald does not start at center.
• If Jason plays basketball then Ronald starts at center.

Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.

• you can buy a new CD
• you cannot buy a new CD
• no conclusion can be made
• you earn more than $14

Tags

CCSS.HSA.SSE.A.1

What allows to say that angle IKH is congruent to angle GKJ?

• Definition of vertical angles
• Linear Pairs Theorem
• Definition of a straight angle
• Vertical angles theorem

Tags

CCSS.7.G.B.5

The Symmetric Property says that if AB = BC, then _________

• AB = BC
• BC = AB
• BC = CD
• A = B

Tags

CCSS.HSG.SRT.B.5

Inductive Reasoning means...

• Guessing

• Testing and observing patterns to make conjectures

• Explaining why

• Adding numbers together

Tags

CCSS.3.OA.D.9

Name this property

• Distribution Property

• Transitive Property

• Reflexive Property

• Symmetric Property

Tags

CCSS.HSG.SRT.B.5

What is the justification (reason)?

• Reflexive Property
• Symmetric Property
• Transitive Property
• Substitution

Tags

CCSS.HSG.SRT.B.5