Lesson 2.3 & 2.4 Review

Deductive or Inductive Reasoning

A dental assistant notices a patient has never been on time for an appointment. She concludes the patient will be late for her next appointment.

• Deductive

• Inductive

Inductive or Deductive

If Eduardo decides to go to a concert tonight he will miss football practice. Tonight, Eduardo went to a concert. Eduardo missed football practice.

• Deductive

• Inductive

Valid or Invalid

Given: Right angles are congruent. <1 and <2 are right angles.

Conclusion: <1 = <2

Valid or Invalid

Given: If you leave your lights on while your car is off, your battery will die.

Your battery is dead.

Conclusion: You left your lights on while the car was off.

Determine whether the stated conclusion is valid or invalid.

Given: If a person is a Missouri resident, they do not live by a beach. Michelle does not live by the beach.

Conclusion: Michelle is a Missouri resident.

Determine the number of line segments that can be drawn connecting pairs of points shown.

• 4

• 6

• 10

• 8

Use Law of Syllogism to draw a valid conclusion. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.

If you interview for a job, then you wear a suit.

If you interview for a job, then you will update your resume.

Use the Law of Syllogism to draw a valid conclusion. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.

If the measure of an angle is between 90 and 180, then its obtuse.

If an angle is obtuse, then it's not acute.

Which postulate can be used to show the statement is true.

Planes P & Q intersect in line m.

• Postulate 2.7: If two planes intersect , then their intersection is a line.
• Postulate 2.6: If two lines intersect then their intersection is exactly one point.

• 2.5: If two points lie in a plane, then the entire line containing those points lies in that plane.

Which postulate can be used to show the statement is true.

Points E, F & G are coplanar.

• Postulate 2.2: Through any three noncollinear points, there is exactly one plane.
• Postulate 2.4 States that a plane contains at least three noncollinear points

• 2.1 - Through any two points there is exactly one line.