Logical Reasoning Part 2

Which is the converse of: "If a figure is a circle with radius r, then its circumference is 2πr."

• If a figure has a circumference of 2(pi)r, then its a circle with radius r.
• If a figure doesn't have a circumference, then it's a circle with a radius of r.
• If a figure isn't a circle with radius r, then its circumference isn't 2(pi)r
• If a figure isn't a circle, then it doesn't have a circumference.

Contrapositive of:
If an integer ends with 0, then it's divisible by 2.

• If an integer ends with 2 then it's divisible by 0.
• If an integer doesn't end in 0, then it's not divisible by 2.
• If an integer isn't divisible by 2, then it's doesn't end in 0.
• If an integer is divisible by 2, then it ends with 0.

Inverse of: 
If you win the championship game, then you win the league trophy.

• If you don't win the championship game, then you don't win the league trophy.
• If you win the league trophy, then you win the championship game.
• If you don't win the league trophy, then you don't win the championship game.
• If you don't play the game, you can't win a trophy.

Conditional:  If a triangle is scalene, then it has no congruent sides. 
Which statement shows the conditional written as a true biconditional?

• A triangle is scalene if and only if it has no congruent sides.
• If a triangle has no congruent sides, then the triangle is scalene.
• If a triangle has some congruent sides, then the tringle is not scalene.
• A triangle is equilateral if and only if it is not scalene.

Which conclusion can you make?
If a whole number ends in 0, then it is divisible by 10. 
If a whole number is divisible by 10, then it is divisible by 5.

• If a whole number ends in 10 then it's divisible by 0.
• If a whole number ends in 5, then it's divisible by 10.
• If a whole number ends in 0, then it's divisible by 5.
• No conclusion can be made.

The "if" part of an if-then statement contains the ___________

• hypothesis
• conclusion

The "then" part of an if-then statement contains the ___________

• hypothesis
• conclusion

Identify the conclusion. "If the car is running, then the key is in the ignition."

• the car is running

• The key is in the ignition
• If the car is running

• then the key is in the ignition.

Which is the correct if-then statement for: "you will be late to school if you miss the bus."

• If you are late to school, then you will miss the bus.
• If you miss the bus, then you will be late to school

Consider the statement:

If Ed lives in Texas, then he lives South of Canada.

Is the statement TRUE/FALSE/Cannot be determined?

• True

• False

• Cannot be determined

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6