Chapter 1 flash cards
Polygon
Two-dimensional figure with three or more sides; closed figure no sides cross each other with straight edges
Isometric
Shows a corner view of a 3-D figure
Orthographic
Shows 3 seperate views: top, front, right
Conjecture
Guess or prediction; reached by using inductive reasoning
Point
A location with no sides
Line
Contains at least 2 points and extends 2 opposite directions infinitely
Plane
A flat surface extending in all directions infinitely; contains at least 3 non collinear points
Line Segment
Part of a line containing 2 end points and all points in between
Ray
Part of a line that has 1 end point and extends in 1 direction
Opposite Rays
2 rays that share the same end point and form a line
Collinear Points
Points that lie on the same line
Coplaner
Points and lines that lie on the same plane
Space
Set of all points in 3-D
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 noncollinear points there is exactly one plane
Segment
Part of a line that consists of 2 end points and all points between them
Postulate 1-5: Ruler Postulate
Every point on a line can be paired with a real number, called the coordinate of the point
Distance
Between 2 points is the absolute value of the difference of their coordinates
Postulate 1-6: Segment Addition Postulate
If three points A,B, and C are collinear and B is between A and C, then AB+ BC= AC
Congruent Segments
Segments that have the same length
Segment Bisector
A point, line, ray, or another segment that intersects a segment at its midpoint
Angle
An angle is formed by two rays with the same endpoints
Acute angle
Less that 90
Right angle
X = 90
Obtuse Angle
90 < x < 180
Straight angle
X= 180
Postulate 1-8: Angle Addition Postulate
If point B is the interior of <AOC
Conclusion
The last step in a reasoning process
Adjacent Angles
Two coplanar angles with a common side, a common vertex, and no common interior points
Vertical Angles
Two angles whose sides are opposite rays; created by 2 intersecting lines; they are congruent; they are congruent
Complementary Angles
Two angles whose measures have a sum of 90
Supplementary Angles
Two angles whose measures have a sum of 180
Postulate 1-9: Linear Pair Postulate
If two angles from a linear pair, then they are supplementary
Linear Pair
2 adjacent angles that form a line
Perpendicular
Right angles to a given line or plane
Perpendicular Bisector
A segment is a line, segment, or Ray that is perpendicular to the segment at its midpoint
Midpoint
A midpoint of a segment is a points that divides the segment into two congruent segments
Consecutive
Following in order without interruption