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- Decide each if and only if statement, name its truth table row and give its truth value.
- Match sentences to a conditional or its converse about a midpoint, and say what each one says.
- Find which values of k make a coordinate if and only if statement false, then change the condition.
- Fill in truth table columns and decide which statements are equivalent to the biconditional.
- Sort conditions on a point P as sufficient, necessary, both or neither for PA = PB.
- Show a point is closer to one point than another exactly when a condition holds, using reversible steps.
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Biconditional: 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