Questions and Answers
What does SAP and AAP stand for?
The Linear Pair Theorem (LPT) states that the two angles that form a line are equal to 180 degrees.
True
What is the Line Postulate?
Through any two points there is exactly one line.
What does the Plane Postulate state?
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Through a line and a point not in the line, there is exactly one plane.
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Through two intersecting lines, there are exactly two planes containing the lines.
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If two lines intersect, then they intersect in exactly one point.
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If two planes intersect, then their intersection is a point.
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If two points are on a plane, then the line that contains them is in that plane.
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What do the properties of equality/congruence include?
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What is the Midpoint Theorem?
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What is the definition of a midpoint/bisector?
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The Angle Bisector Theorem states that if ray BX is the bisector of ___
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Study Notes
Segment and Angle Addition Postulates
- SAP (Segment Addition Postulate) states that two segments can be added to form a larger segment.
- AAP (Angle Addition Postulate) states that two angles can be added to form a larger angle.
Linear Pair Theorem
- The Linear Pair Theorem asserts that when two angles form a straight line, their measures sum to 180 degrees.
Line Postulate
- The Line Postulate specifies that for any two distinct points, there exists exactly one line that passes through both.
Plane Postulate
- According to the Plane Postulate, three points that are noncollinear will define a unique plane.
Plane Existence Postulate
- A line and a point not on that line determine one and only one plane.
Intersecting Lines and Plane
- Two intersecting lines exist within exactly one plane that contains both lines.
Intersection of Lines
- If two lines intersect, they do so at a single point.
Intersection of Planes
- The intersection of two planes results in a line.
Points and Planes
- If two points reside on the same plane, the line connecting them is also contained within that plane.
Properties of Equality and Congruence
- Includes various properties such as addition, subtraction, multiplication, division, reflexive, symmetric, transitive (for congruence only), substitution, distributive, commutative, and associative properties.
Midpoint Theorem
- The Midpoint Theorem indicates that if point M is the midpoint of segment AB, then the lengths of AM and MB are each half the length of AB.
Definition of Midpoint and Bisector
- A midpoint or bisector divides a segment or angle into two congruent segments.
Angle Bisector Theorem
- If ray BX is the bisector of an angle, it divides the angle into two equal parts, although further details are needed for a complete definition.
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Description
This quiz covers essential geometry concepts including the Segment Addition Postulate, Linear Pair Theorem, and various postulates related to lines and planes. Perfect for students looking to reinforce their understanding of geometry theorems and definitions. Test your knowledge with these flashcards!
