Chapter 3 Logical Reasoning

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

 $2\pi r.$  "

• If a figure has a circumference of  $2\pi r$  , then it's 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.

Which conclusion can you make?

Premise 1: If a whole number ends in 0, then it is divisible by 10.

Premise 2. 15 is not divisible by 10.

• 15 ends in 0.

• 15 doesn't end in 0.

• The whole number doesn't end in 0.

• No conclusion can be made.

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

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.4.OA.A.1

Premise 1 : All rhombuses are parallelograms.

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

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

choose two implications based on the following statement.

y > 3 if and only if 2y > 6

• If y > 3, then 2y > 6

• If y < 6 , then 2y > 6

• If 2y > 6, then y > 3

• If 2y > 6, then y < 6

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

What is the converse of this statement?

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

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

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

• A rectangle is also a quadrilateral.

Determine whether the following inductive argument is strong or weak.

Premise 1: Ahmad has black hair.

Premise 2: Siew Sian has black hair.

Premise 3: Chandran has black hair.

Premise 4: Henry has black hair.

Conclusion : All Malaysia citizen have black hair.

• Strong and not cogent.

• Weak

• Strong and cogent

• Weak and cogent.