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Logic Statements
Laws of Logic
Logic Statements Practice
Counter Examples
Random
100
if p then q
What is the Conditional Statement
100

What can you conclude following the given statements?

If the countertops are made of natural material, then the kitchen adds value to the home.

Lisa's countertops are made of natural material.

What is "Lisa's kitchen adds value to the home."

100
Given: "If two lines are parallel then the slopes of the two lines are equal." Write the Converse Statement.
What is "If the slopes of the two lines are equal, then the two lines are parallel."
100
Give a counter example. For any number n, 2n>n
What is n= 0, -1, -2....
100
What are the: Distance and Midpoint formulas
What is...
200
if not q then not p
What is the Contrapositive
200

What can you conclude following the given statements?

If I grabbed my boots on the way out, then it is cold.

If it is snowing, then I grab my boots on the way out.

What is "If it is snowing, then it is cold."

200
Given: If the sum of the measures of the angles of a figure add up to 180 degrees, then the figure is a triangle." Write the Inverse Statement:
What is "If the sum of the measures of the angles of a figure does not add up to 180 degrees, then the figure is not a triangle."
200
Give a counter example: Two rays having the same endpoint makes an acute angle. (sketch this)
What is....
200
Given this pattern: 2, 7, 12, 17, 22, 27... identify the d and the a, then write the nth term:
What is: d=5 & a=2 nth term: 5n-3
300
if not p then not q
What is the Inverse Statement
300

Is the conclusion valid given the two arguments below? If so, which law was used?

If she does not eat meat, then she must find an alternate source of protein.

If she is a vegetarian, then she does not eat meat.

Con: If she finds alternate sources of protein, then she is a vegetarian.

What is "INVALID"

300
Given: "If y=mx +b, then m represents the slope." Write the Converse Statement.
What is "if m represents the slope, then y=mx +b"
300
Give a counter example: Each angle in a right triangle has a different measure.
What is a: 90-45-45 right triangle.
300
B lies between A and C on a line segment. If AB=17cm and BC=3y and AC=5y+9 Find the length of BC in cm.
What is 12cm.
400
if q then p
What is Converse Statement
400

Is the conclusion valid given the two arguments below? If so, which law was used?

If a person is more than 6 feet tall, then they are tall.

Keegan is more than 6 feet tall.

Con: Keegan is tall.

What is "VALID - Law of Detachment"

400
Given: "If it is Valentines Day, then the date is February 14th" Write the Biconditional Statement.
What is "It is Valentines Day if and only if the date is February 14th."
400
Give a counter example: If you are an athlete, then you play football.
What is any other sport other than football
400
5(x-4)=3x-8 find x
What is x=6
500

p if and only if q

What is Biconditional Statement

500

Is the conclusion valid given the two arguments below? If so, which law was used?

f --> a,

a --> m,

n --> f

Con: n --> m

What is "VALID - Law of Syllogism"

500

Given: "if a pair of angles are complementary, then they sum to 90 degrees" Write the Contrapositive Statement.

What is "if the two angles do not sum to 90 degrees, then the two angles are not complementary."

500

Give a counter example: for all non-zero integers n, n2 =/ 2n.

(NOT EQUAL) 

What is 2.

500
What is the general rule for the Law of Syllogism:
What is: if p->q and q->r then p->r