Podcast
Questions and Answers
What is the postulate about two planes?
Which postulate states that a line is determined by two points?
Which postulate specifies the minimum number of points in space?
What is the postulate that states points A and B lie in only one line?
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Select the postulate that substantiates the fact that a table with four legs can wobble if one leg is shorter than the other three, but a table with three legs will not wobble.
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What is the postulate that verifies that line segment AB is in plane Q when points A and B are in Q?
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What is the postulate stating that if G and H are different points in plane R, then a third point exists in R not on line segment GH?
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How many lines are determined by two points?
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Which of the following cannot be used to state a postulate?
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Which of the following requires a proof?
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Two planes intersect in exactly _____
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If a ray lies in a plane, how many points of the ray are also in the plane?
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If C is between A and B then AC + CB = AB.
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Three points are collinear.
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Two planes intersect in exactly one point.
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Study Notes
Geometric Postulates
- Postulate 5: Intersecting planes will always intersect along a single line.
- Postulate 2: Through any two distinct points, there exists a unique line.
- Postulate 1b: Space must contain a minimum of four points that are not co-planar.
- Postulate 3: A configuration of three non-collinear points determines exactly one plane.
- Postulate 4: If two points lie in a plane, then the line connecting them is also within that plane.
- Postulate 1a: A plane must contain at least three points that are not collinear.
- Two points determine exactly one line.
- Theorems cannot be used to establish postulates; postulates are accepted truths.
- Theorems require formal proofs to validate their statements.
- Two planes intersect in only one line.
- If a ray lies in a plane, every point along that ray also exists in the same plane.
- If point C lies between points A and B, the segment lengths satisfy the equation AC + CB = AB.
- Three points may be collinear under certain conditions, but it is not a necessity.
- It is never true that two planes can intersect at only one point; their intersection is always a line.
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Description
Test your understanding of essential geometric postulates with this set of flashcards. Each card presents a question about key postulates that underpin the foundations of geometry. Reinforce your knowledge and prepare for your geometry class or exam.