1 2 Points Lines And Planes
Question: Point
Answer: Indicates a location and has no size
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Question: Line
Answer: A straight path that extends in two opposite directions without end and has no thickness; contains infinitely many points.
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Question: Plane
Answer: Represented by a flat surface that extends without end and has no thickness; contains infinitely many lines.
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Question: Collinear Points
Answer: Points that lie on the same line
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Question: Coplanar
Answer: Points and lines that lie in the same plane
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Question: Segment
Answer: Part of a line that consists of two endpoints and all points between them; middle is midpoint.
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Question: Ray
Answer: Part of a line that consists of one endpoint and all the points of the line on one side of the endpoint.
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Question: Opposite rays
Answer: Two rays that share the same endpoint and form a line
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Question: Postulate
Answer: Statement of fact, basic building block of logical systems in geometry.
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Question: Postulate 1-1
Answer: Through any two points there is exactly one line.
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Question: Intersection
Answer: A set of points two or more geometric figures have in common
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Question: Postulate 1-2
Answer: If two distinct lines intersect, then they intersect in exactly one point.
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Question: Postulate 1-3
Answer: If two distinct planes intersect, then they intersect in exactly one line.
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Question: Postulate 1-4
Answer: Through any three noncollinear points there is exactly one plane.
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Question: Undefined Terms
Answer: Points, lines, and planes
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Question: Opposite Rays, AKA…
Answer: Line
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Question: What is the ray’s endpoint in its notation?
Answer: First letter
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Question: Why do you use two arrowheads when drawing or naming a line?
Answer: It continues on in both directions infinitely.
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Question: How is naming a ray similar to naming a line? How is it different?
Answer: A ray goes on infinitely in one direction, whereas a line goes on infinitely in both directions.
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Question: If one ray contains another ray, are they the same ray? Explain.
Answer: Not necessarily, only if they have the same endpoints.
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Question: How many planes contain the same three collinear points? Explain.
Answer: Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
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Question: How many planes contain a given line? Explain.
Answer: Infinitely many
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Question: Conjecture
Answer: A statement believed to be true, but not yet proven.
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Question: Axiom
Answer: A rule or statement that is accepted true without a proof.
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Question: T/F? The Earth’s equator is a segment.
Answer: F
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