Ch 2: High School Geometry: Logic in Mathematics

Watch logic in mathematics video lessons and learn about conditional statements in geometry, truth tables and geometric proofs. Take quick quizzes to make sure you fully understand logic in mathematics.

High School Geometry: Logic in Mathematics - Chapter Summary and Learning Objectives

To write a geometric proof, students must be able to advance logically and systematically from the proof's premise to its conclusion. Before they can do this, they must understand what logic statements are and how they apply to geometry. At the end of this chapter, you should be able to:

• Use conditional statements in relation to geometry.
• Explain the difference between a conjunction and a disjunction.
• Identify the inverse and converse of conditional statements.
• Display truth values for statements by creating a truth table.
• Write geometric proofs.

VideoObjective
Critical Thinking and Logic in MathematicsUnderstand logic, arguments, premises and conclusions.
Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited ChoiceLearn about false cause, hasty generalization, limited choice and circular reasoning.
Logical Fallacies: Appeals to Ignorance, Emotion or PopularityExplore appeal to popularity, appeal to ignorance and appeal to emotion.
Propositions, Truth Values and Truth TablesLearn about propositions, truth values, negation and truth tables.
Logical Math Connectors: Conjunctions and DisjunctionsExplore conjunctions and disjunctions as well as the inverse and converse of conditional statements.
Conditional Statements in MathUnderstand conditional propositions, hypotheses, conclusions and alternative phrasing of conditionals.
Logical Equivalence: Converse, Inverse, Contrapostive & CounterexampleLearn the meaning of converse, inverse, contrapositive and logically equivalent.
Direct ProofsExplore direct proofs and ways they appear in math.
Geometric Proofs: Definition and FormatLearn about geometric proofs and the format of formal proofs.

9 Lessons in Chapter 2: High School Geometry: Logic in Mathematics
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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