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Geometric Reasoning

This concept covers the basics of geometric reasoning, which is a fundamental tool in geometry. We learn to prove statements using logical reasoning and facts. Topics covered include conjectures, inductive and deductive reasoning, biconditionals, venn diagrams, and definitions.
The concept is broken into smaller topics, which makes it easier and much more fun for students. The topics are listed below:-
Algebraic and Geometric Proof
In this topic, we learn to use the properties of equality and congruence to write algebraic proofs. We also learn to write two-column proofs.
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Biconditional Statements and Definitions
This topic introduces the concept of biconditional statements in geometric reasoning. We learn to identify, write, and analyze biconditional statements. We also learn to write definitions as biconditional statements.
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Conditional Statements (including Venn Diagrams)
In this topic, we learn to identify, write, and analyze the truth value of conditionals. This track also introduces the concepts of writing the inverse, converse, and contrapositive of a conditional statement.
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Make Conjectures using Inductive Reasoning
This topic explains the use of inductive reasoning to identify patterns and make conjectures. It also covers proving conjectures true and the use of counterexamples to prove them false.
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Verify Conjectures using Deductive Reasoning
In this topic, we learn to verify conjectures using deductive reasoning. We also learn to apply the Law of Detachment and the Law of Syllogism in logical reasoning.
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