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- Count regions made by lines through one point and test Maya's conjecture.
- Count rectangles in strips of squares and use differences to find the pattern.
- Decide whether quadrilaterals are counterexamples to a claim about a parallelogram.
- Give a counterexample to a claim about quadrilaterals with two right angles, then check Owen's repair.
- Name what Maya's three figures share, then test the claim on other quadrilaterals.
- Compare the area of a triangle with the area of its midpoint triangle and find the pattern.
- Test a claim about whole-number triangle sides and area with Mateo's triangles.
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Inductive 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