Symbolic Form of Conditional Statements

What does this mean?

• Conditional Statement
• Inverse
• Converse
• THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

What does this mean?

• Conditional Statement
• Inverse Statement
• Converse Statement
• Contrapositive Statement

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What does this mean?

• Conditional Statement
• Converse
• Inverse
• Contrapositive

Let p represent "Daniel is angry", and let q represent "Daniel is not having fun."
Translate the following symbolic form into written form... 
      p ^ ~ q

• Daniel is not having fun and Daniel is angry.
• Daniel is having fun and Daniel is not angry.
• Daniel is angry and Daniel is having fun. 
• Daniel is angry and Daniel is not having fun.

Tags

CCSS.HSS.CP.A.1

Let p represent "Daniel is angry", and let q represent "Daniel is not having fun."
Translate the following symbolic form into written form... 
      ~ q ^ p

• Daniel is not having fun and Daniel is angry.
• Daniel is having fun and Daniel is angry.
• Daniel is angry and Daniel is having fun. 
• Daniel is angry and Daniel is not having fun.

Tags

CCSS.HSS.CP.A.1

Consider the following statements.

p: two lines are parallel

q: corresponding angles are congruent

Which of the following is the symbolic representation of the statement,

If two lines are not parallel, then corresponding angles are not congruent.

• ∼p→∼q

• ∼q→∼p

• q→p

• p→q

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

Let p represent “x² ≠ 64.”

Let q represent “x is not a rational number.” Which is a representation of the statement below?

If x is a rational number, then x² = 64.

• ∼p→∼q

• ∼p→q

• p→∼q

• ∼q→∼p

Tags

CCSS.HSS.CP.A.1

Let s represent “eat your vegetables,” let r represent “eat your dessert,” and t represent “you can go to the party.” Which statement represents ∼r→t?

• If you eat your vegetables, then you can go to the party.

• If you eat your dessert, then you can to the party.

• If you do not eat your vegetables, then you cannot go the party.

• If you do not eat your dessert, then you can go to the party.

r:  it is raining
s: sidewalks are wet
Write "If it is not raining then the sidewalks are not wet in symbolic form.

• ∼r→∼s
• ∼s→r
• r→s
• s→r

Tags

CCSS.HSS.CP.A.1

Consider the following statements represented by pand q:

p: The sum of two angles is 180°.

q: The two angles are supplements.

Which of the following is a symbolic representation of the statement

"If two angles are not supplements, then the sum of the two angles is not 180°."

• q→∼p

• p→∼q

• ∼q→∼p

• ∼p→∼q