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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

You hear a fire alarm. You smell smoke. Therefore, there is a fire . 

Syllogism or Detachment?

Detachment

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. 

If my bike isn't working, then I have a flat tire.

varies

100

Find the weighted average.

A number 2 has weight 8 

A number 3 has weight  6 .

Round to the nearest tenth.

What is... 2.4

200
if not q then not p
What is the Contrapositive
200

If it is snowing, then I will wear my boots. If I wear my boots , then my feet will stay dry.

Write a conclusion.

Syllogism or Detachment?

If it is snowing, then my feet will stay dry.

Syllogism

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: If a shape has 4 sides, then it is a parallelogram

What is....square, rectangle, etc.

200

Which construction creates a midpoint, and creates a right angle?

perpendicular bisector

300
if not p then not q
What is the Inverse Statement
300

Deductive or Inductive?

Every morning at 10 am, church bells ring. It is 10 am. Therefore church bells ring. 

Inductive

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

If x2= 25, then x = 5



-5

300

A school year is 160 days

True or False

false

400
if q then p
What is Converse Statement
400

Deductive or Inductive?

All dogs have tails . Rover is a dog. Therefore Rover has a tail.

Deductive

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

If you play football, then you are an athlete.

Write the converse. Then give a counter example.

If you are an athlete, then you play football.

Tennis, baseball, golf, basketball, soccer, etc.

400

Find the midpoint of (4, -1) and (-4, 1)

0,0

500

p if and only if q

What is Biconditional Statement

500

If I stay out too late, then I've got nothing in my brain. Therefore, that's what ______ _______. 

Use deductive reasoning :)


people say

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

If it is Tuesday, then you go to school. 

Write the biconditional. Give a counter example.

It's vacation. You're home sick, etc.

500

What is the name of the formula that we use to find a missing side of a RIGHT TRIANGLE. 

pythagorean theorem or distance