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Questions and Answers
What is the defining characteristic of a segment?
What is the defining characteristic of a segment?
- It extends infinitely in two directions
- It has no beginning or end
- It has a beginning but no end and has an arrow
- It connects two points and has a beginning and an end (correct)
How are points described as collinear?
How are points described as collinear?
- If they share the same plane
- If they are non-collinear
- If they do not intersect
- If they lie on the same line (correct)
What is the result of the intersection of two planes?
What is the result of the intersection of two planes?
- A point
- A line (correct)
- A plane
- A segment
How are coplanar points defined?
How are coplanar points defined?
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What determines a plane?
What determines a plane?
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Study Notes
- A point is a dot in space.
- A segment connects two points and has a beginning and an end.
- An array or ray has a beginning but no end and one arrow.
- A line has no beginning or end and extends infinitely in two directions.
- Points are collinear if they lie on the same line.
- Three or more collinear points determine exactly one plane.
- Coplanar points lie on the same plane.
- Non-coplanar points do not lie on the same plane.
- A plane can be determined by three non-collinear points, a line and a point, or two parallel lines.
- Two intersecting lines share the same plane.
- Coplanar lines exist on the same plane.
- Coplanar segments share the same plane as the segments they connect.
- Points determine the plane they lie on.
- Intersection of two planes is a line.
- A line and a point determine the plane they belong to.
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