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Math · High School

Geometry, Unit 1: Points, Lines, Planes, and Constructions

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?
An exact location in space, with no size or dimension
What is a line in geometry?
A straight path extending infinitely in two directions
What is a line segment?
A part of a line with two defined endpoints
What is a ray?
A part of a line with one endpoint, extending infinitely in one direction
What is a plane in geometry?
A flat, two-dimensional surface extending infinitely in all directions
How many points are needed to define a unique line?
Two
How many points are needed to define a unique plane, if not collinear?
Three
What does 'collinear' mean?
Points lying on the same line
What does 'coplanar' mean?
Points or lines lying in the same plane
What is the intersection of two distinct lines?
A single point (if they are not parallel)
What is the intersection of two distinct planes?
A line
What is a postulate in geometry?
A statement accepted as true without proof
What is a theorem in geometry?
A statement proven true using postulates, definitions, and logic
What is the difference between a line segment's length and a line's length?
A segment has a measurable, finite length; a line is infinite
What tool is traditionally used to draw a perfect circle in constructions?
A compass

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