Inductive and Deductive Reasoning - Practice

Which of the following is the converse of “If two planes intersect, then they share a line”?

• If two planes share a line, then they intersect.

• If two planes are parallel, then they do not share a line.

• If two planes share a point, then they intersect.

• If two planes intersect, then they share two lines.

The negation of “Two lines are parallel” is:

• Two lines never meet.

• Two lines are not parallel.

• Two lines intersect.

• Two lines are perpendicular.

Which of the following is biconditional?

• Two angles are vertical if and only if they are congruent.

• If two angles are congruent, then they are vertical.

• If two angles are vertical, then they are adjacent.

• Two angles are congruent if they are adjacent.

The statement “The pattern increases by 3 each time, so the next term is 18” is an example of:

• Inductive reasoning

• Deductive reasoning

• Transitive reasoning

• Algebraic reasoning

Which postulate is illustrated when two lines intersect?

• Two points determine a line.

• Two lines intersect in a point.

• Through any three points there is a plane.

• A line contains at least two points.

• Reflexive

• Symmetric

• Transitive

• Substitution

• Reflexive Property

• Symmetric Property

• Transitive Property

• Addition Property

• Both A and B

• None of these

Which statement uses deductive reasoning?

• The last two quizzes were easy, so the next one will be easy.

• The past three Mondays were rainy, so next Monday will be too.

• I observed 10 cases, so it must always be true.