Compound Statments

Match the following

• P -> Q

• P if and only if Q

• Q -> P

• Q if P

• P <-> Q

• P or Q

• Q ^ P

• If Q, then P

• P v Q

• Q and P

If P, then not Q.

• Q -> P

• ~Q -> P

• P -> ~Q

• P -> Q

P = I earned an A+ in Geometry

Q = I earned an A+ on my Final Exam

Which of the following are equivalent to: "If I earned an A+ on my Final Exam, then I earned an A+ in Geometry."

• P -> Q

• Q -> P

• P -> ~Q

• ~P -> Q

P = I earned an A+ in Geometry

Q = I earned an A+ on my Final Exam

Which of the following are equivalent to: "I did not earn an A+ in Geometry if an only if I earned an A+ on my Final Exam."

• P <-> Q

• Q <-> P

• P <-> ~Q

• ~P <-> Q

Select all of the following statements that are Conditional Statements:

• I am not sure if that is an acute angle

• If an angle is a straight angle, then it measures 180°

• I do not like cauliflower.

• If you play basketball, then you know how to dribble.

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

• If the polygon is not a quadrilateral, then it is not a trapezoid.

• If the polygon is not a trapezoid, then it is not a quadrilateral.

• If the polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

Consider the following original statement:

"If the Confabulop is a draputar, then the Confabulop is not a destarosin."

Identify the inverse.

• If the Confabulop is not a draputar, then the Confabulop is a destarosin.

• If the Confabulop is not a destarosin, then the Confabulop is a draputar.

• If the Confabulop is a destarosin, then the Confabulop is not a draputar.

Is the following statement valid? If not, select the counterexample:

"If Maggie is a pet, then Maggie is a dog."

• My friend Maggie the electrical engineer

• My pet dog Maggie

• My pet cat Maggie

• Maggie, the wild elephant

• The statement is valid

Is the following statement valid? If not, select the counterexample:

"If you are in Mr. Bradie's Geometry classroom, then you are at Bethel High School."

• Mr. Bradie's student Flim-flam, who is currently in North Carolina

• The state of Georgia

• Mr. Bradie's student Billy, who is currently attending class at Bethel High School

• Mr. Bradie's student Tim, who is currently skipping class by hiding in the library.

• The statement is valid