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- Find every point two lines share, or say there is none or they are the same line.y = 3x + 2 and y = -x - 6x + y = 10 and y = x - 4y = -3x + 4 and 6x + 2y = 82x - y = 5 and y = 2x + 1y = \dfrac{1}{2}x + 3 and y = -2x - 2
- Find the strip length and other measures for a fish tank.
- Count how many places city streets cross on a map.
- Use an escalator through a floor to find lengths and where it crosses the plane.
- Decide if each statement about lines and planes is always, sometimes or never true.
- Sort the edges of a hexagonal prism by how their lines meet a given line.
- Explain why a line through points in two planes is skew to their shared line.
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Lines and planes in space: 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