2nd Quarter: Module 10 Quiz

Which of the following best describes deductive reasoning?

• Using logic to draw conclusions based on accepted statements.

• Accepting the meaning of a term without definition.

• Defining mathematical terms in relation to physical objects.

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

It uses specific examples to arrive at a general rule, generalizations, or conclusion.

• Deductive reasoning

• Law of Syllogism

• Inductive reasoning

• Law of Detachment

For inductive reasoning: What is the next term in the sequence 1, 1, 2, 3, 5, 8?

• 11

• 12

• 13

• 14

Which of the following is an example of inductive reasoning?

• Carlos learns that the measures of all acute angles are less than 90. He conjectures that if he sees an acute angle, its measure will be less than 90.

• Carlos reads in his textbook that the measure of all right angles is 90. He conjectures that the measure of each right angle in a square equals 90.

• Carlos measures the angles of several triangles and finds that their measures all add up to 180. He conjectures that the sum of measures of the angles in any triangle is always 180.

• Carlos knows that the sum of the measures of the angles in a square is always 360. He conjectures that if he draws a square, the sum of the measures of the angles will be 360.

Use deductive reasoning to complete the statement, “All right angles are congruent. ∠B and ∠C are both right angles. Therefore, ______.

• ∠B and ∠C are congruent angles.

• ∠B and ∠C are right angles.

• ∠B and ∠C have equal measures.

• ∠B and ∠C are not congruent.

What is the equivalent truth value of a converse statement?

• Conditional

• Inverse

• Statement

• Contrapositive

The equivalent statement of “If two angles are not complementary, then the sum of their measures is not 90° is ______.

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

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

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

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

Which of the following best describes inductive reasoning?

• Using logic to draw conclusions based on accepted statements.

• Accepting the meaning of a term without definition.

• Defining mathematical terms in relation to physical objects.

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

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

• 33

• 35

• 37

• 39

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

• Deductive reasoning

• Law of Syllogism

• Inductive reasoning

• Law of Detachment