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- Decide which words are undefined terms and which are defined from them.
- Use the slope test to decide whether sets of three points are collinear.(−4, 9), (0, 3), (6, −6)(−1, −5), (2, 1), (8, 12)(3, 8), (3, −2), (5, 4)(−6, −2), (−2, 1), (10, 10)(0, −4), (5, 0), (−10, −11)
- Decide whether each name is a correct name for a line, segment or plane.
- Use distances between campsites on Elena's map to decide which points are on one line.
- Show three points are collinear whatever a and b are, then find the missing value.
- Find the y-coordinate of the last fence post in line with the first two.
- Decide which points of a triangular prism are coplanar.
- Prove a fact about a line and a point using only three given rules.
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Points, lines and planes: 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