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Geometry Ch 1.1 Notes Illini West High School(高中几何1.1 Ch笔记西部草地)
Chapter 1.1;Ch 1.1 Notes;Chapter 1.2;Ch 1.2 Notes;Point
Plane
Ray
Opposite Rays
Line
Line Segment;Definitions
Collinear Points – are points all on the same line
Coplanar Points – are points all of the same plane
Intersect – if two or more figures have one or more points in common
Intersection – is the set of points the figures have in common
Postulates or Axioms – are rules that are accepted without proof
;Postulate 1.1 – Through any two points there is exactly one line.
Postulate 1.2 – If two distinct lines intersect, then they intersect in exactly one point
Postulate 1.3 – If two distinct planes intersect, then they intersect in exactly one line.
Postulate 1.4 – Through any three points there is exactly one plane.
;Chapter 1.3;Ch 1.3 Notes;Distance – between two points is the absolute value of the difference of their coordinates.
Midpoint – of a segment is a point that divides the segment into two congruent segments.
Segment Bisector – is a segment or line that cuts a segment into two equal parts.;Chapter 1.4;Ch 1.4 Notes;Postulate 1.8 – Angle Addition Postulate
Classifying angles by their measure
Acute angle –
Right angle –
Obtuse angle –
Straight angle –
;Chapter 1.5;Ch 1.5 Notes;Vertical Angles – are two angles whose sides are opposite rays
Complementary Angles – are two angles whose measure have a sum of 90.
Supplementary Angles – are two angles whose measure have a sum of 180.
;Linear Pair – is a pair of adjacent angles whose noncommon sides are opposite rays.
Angle Bisector – is a ray that divides an angle into two congruent angles.
Postulate 1.9 – If two angles form a linear pair, then they are supplementary.;Chapter 1.6;Ch 1.6 Notes;Construct the Perpendicular Bisector;Construct the Angle Bisector;Chapter 1.7;Ch 1.7 Notes ;Chapter 1.8;Ch 1.8 Notes
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