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- Write the conclusion that follows from each set of statements and name the law used.
- Work with rays and angles in order around a point to reach a conclusion.
- Decide whether each argument is valid and whether its conclusion is certain.
- Put the seven statements of a proof about a right angle in order.
- Find AN from AB with midpoints, then prove a formula that holds for any segment.
- Prove all four angles at crossing lines are equal, starting from one pair.
- Use the angle sum theorem to prove a fact about angle bisectors in a triangle.
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Deductive reasoning: the lesson ›More Chapter 1 worksheets: Points, lines, planes and the language of proof
- 1.1Axioms, definitions and theorems
- 1.2Points, lines and planes
- 1.3Lines and planes in space
- 1.4The midpoint formula
- 1.5Conjecture, and why a pattern is not a proof
- 1.6Counterexample
- 1.7Inductive reasoning
- 1.8Deductive reasoning
- 1.9Statements and negation
- 1.10Conditionals, converse, inverse, contrapositive
- 1.11Biconditional
- 1.12Converses and biconditional definitions