Geometry, Unit 1: Points, Lines, Planes, and Constructions. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
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- What is a point in geometry?
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An exact location in space, with no size or dimension
- What is a line in geometry?
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A straight path extending infinitely in two directions
- What is a line segment?
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A part of a line with two defined endpoints
- What is a ray?
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A part of a line with one endpoint, extending infinitely in one direction
- What is a plane in geometry?
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A flat, two-dimensional surface extending infinitely in all directions
- How many points are needed to define a unique line?
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Two
- How many points are needed to define a unique plane, if not collinear?
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Three
- What does 'collinear' mean?
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Points lying on the same line
- What does 'coplanar' mean?
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Points or lines lying in the same plane
- What is the intersection of two distinct lines?
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A single point (if they are not parallel)
- What is the intersection of two distinct planes?
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A line
- What is a postulate in geometry?
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A statement accepted as true without proof
- What is a theorem in geometry?
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A statement proven true using postulates, definitions, and logic
- What is the difference between a line segment's length and a line's length?
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A segment has a measurable, finite length; a line is infinite
- What tool is traditionally used to draw a perfect circle in constructions?
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A compass