Logic Reasoning

1. What is the equivalent truth value of a converse statement?

• A. Conditional

• B. Inverse

• C. Statement  

• D. Contrapositive

2. The statement that has the same truth value as the given statement: “If a

    polygon is a rectangle, then its pairs of opposite sides are parallel.” is _____.

• A. If a polygon is a not a rectangle, then its pairs of opposite sides are parallel.

• B. If the pairs of opposite sides of a polygon are not parallel, then the polygon

          is not a rectangle.

• C. If the opposite sides of a polygon are parallel, then the polygon is not a

          rectangle.

• D. If a polygon is a not a rectangle, then its pairs of opposite sides are not

          parallel.

3. The equivalent statement of “If two angles are not complementary, then the 

sum of their measures is not 90° is ______.

• A. If two angles are complementary, then the sum of their measures is 90°.

• B. If two angles are complementary, then the sum of their measures is not 90°.

•   

   C. If the sum of the measures of two angles is 90°, then the two angles are 

         complementary.

• D. If two angles are not complementary, then the sum of their measures is not

         90°.

4. Which of the following best describes inductive reasoning?

• A. Using logic to draw conclusions based on accepted statements.

• B. Accepting the meaning of a term without definition.

•     C. Defining mathematical terms in relation to physical objects.

• D. Inferring a general truth by examining a number of specific examples.

5. What conclusion can you draw from the following two statements? If a person does not get enough sleep, that person will be tired.

    Marcos does not get enough sleep.

•     A. Marcos will be tired.      

• B. Marcos should get enough sleep.

• C. Marcos will get enough sleep.

• D. Marcos will not be tried.

6. What law of deductive reasoning is used in item #5?

• A. Law of Syllogism   

• B. Modus Ponens      

• C. Modus Tollens

• D. Law of Contrapositive

7.    For inductive reasoning: What is the next term in the sequence 19, 23, 27, 31,…?

• A. 33   

• B. 35   

• C. 37  

• D. 39

8.    Determine the right conclusion from the following statements:

I. A shape that has more than 2 sides is a polygon.

II. A regular polygon has both all sides and all angles congruent.

III. An equilateral triangle has 3 congruent sid

• A. All triangles are polygons.             

• B. A rectangle with sides 2, 2, 4, and 4 is not a regular polygon.

• C. An equilateral

  triangle is

  a regular polygon                                     

• D. All of the above can be concluded.

9.    It uses a general rule or fact to give a specific example.

• A. Deductive reasoning

• B. Law of Syllogism   

• C. Inductive reasoning

• D. Law of Detachment

10.   Determine the next number in the sequence: 1, 2, 4, 7, 11...  Is this inductive or deductive reasoning?

• A. The next number is 22.  This is inductive reasoning.       

• B. The next number is 16.  This is inductive reasoning. 

• C. The next number is 22.  This is deductive reasoning.      

• D. The next number is 16.  This is deductive reasoning.