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Overview
Geometry
32. MA.912.LT.4.3
32.6 Conditionals
Conditional Statements
If-then statements in geometry: the hypothesis, the conclusion, and the converse, inverse, and contrapositive.
What You'll Learn
A conditional statement has the form 'if p, then q' (if-then).
The hypothesis is the 'if' part; the conclusion is the 'then' part.
A conditional is false only when the hypothesis is true and the conclusion is false.
Converse: swap the parts. Inverse: negate both. Contrapositive: swap and negate.
The contrapositive is always equivalent to the original conditional.
What You'll Practice
1
Identifying hypothesis and conclusion in verbal and mathematical conditional statements
2
Evaluating truth values given specific conditions for variables
3
Creating counterexamples for false conditional statements
4
Rewriting sentences as if-then statements
Why This Matters
Conditional statements form the foundation of logical reasoning in mathematics and computer science. You'll use if-then logic to construct mathematical proofs, write algorithms, analyze arguments, and solve complex problems throughout algebra, geometry, and beyond.
This Unit Includes
18 Video lessons
Learning resources
Skills
Conditional Statements
Logic
Hypothesis
Conclusion
Truth Tables
Counterexamples
If-Then Statements
FL Curriculum Aligned