Chapter 3 Logical Reasoning

Which of the following statement is true?

• 17 can be divided by 9.

• Equation with the highest power of 3 is called quadratic equation.

• All regular polygons have equal sides.

Premise 1: If a polygon has two pairs of parallel sides, then the polygon is a parallelogram. 

Premise 2: Polygon X has two pairs of parallel sides. 

Premise 3: Polygon X is a parallelogram. 

What is the type of argument? 

• Deductive argument

• Inductive argument

The two lines do not intersect with each other if and only if the two lines are parallel lines. 

• True

• False

If the sum of angle A and angle B is 90o, then angle A and angle B are complementary angles. 

Which of the following is correct?  

• Consequent:

  Angle A and angle B are complementary angles.

• Consequent:

  The sum of angle A and angle B is 90o.  

What is deductive argument?  

• General conclusion based on general premise.  

• Specific conclusion based on general premise.

If abcd is a quadrilateral, then abcd has four sides.

"abcd is a quadrilateral" is a ....

• antecedent

• consequent

• statement

• implication

Statement: If p, then q.

Which of the following is contrapositive of this statement?

• If q, then p.

• If ~p, then ~q.

• If ~q, then ~p.

If an angle is less than 90 degrees, then the angle is a right angle.

Determine the truth value of this statement.

• True

• False

The sum of internal angle of a polygon is always 360 degree.

Determine which of the following is the counter-example to negate the truth of this statement.

• The sum of the internal angle of quadrilateral is 360 degree.

• The sum of the internal angle of pentagon is 540 degree.

• The sum of the external angle of pentagon is 360 degree.

What is a general statement?

• Statement that refer to a specific case.

• Statement that describe a concept.

• Process of making a specific conclusion based on a general premises.