Logical Reasoning

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

• 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.

Tags

CCSS.7.G.B.4

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.

Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.

• The polygon is a rectangle.
• The polygon is a regular quadrilateral.
• The polygon has exactly five congruent angles.
• The polygon has congruent sides.

Tags

CCSS.HSG.CO.C.11

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

• You are at least 25 years old
• You can rent a car
• You can go on a road trip
• Invalid

Tags

CCSS.RI.11-12.2

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

Determine which one is a statement.

• 3m x 2m = 6m

• A prime number has 2 factors.

• χ + γ

• Express 2300 in standard form.

• χ + 2 = 3

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

Premise 1 : All rhombuses are parallelgrams.

Premise 2 : __________________________________

Conclusion : A square is a parallelogram.

• A square not rhombus

• A square is a rhombus

• parallelograms is a square

• Parallelogram is not a square

Tags

CCSS.HSG.CO.C.11

Complete the premise in the following argument.

Premise 1 : If set P is a subset of set Q, then P ∩ Q = P.

Premise 2 : .........................................................................

Premise 3 : Set P is not a subset f set Q.

• P ⋃ Q = Q

• P ∩ Q = P

• P ∩ Q ≠ P

• P ⋃ Q ≠ P

state whether the following statement is true or false.

All polygons have five sides.

• True

• False

Tags

CCSS.2.G.A.1

complete the following compound statement by writing the word 'or' or 'and' to form a true statement.

4² = 8 [__] 7 x 0 = 0

• Or

• And

Tags

CCSS.HSN.CN.A.2