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Geometry Ch 1

Stepp's PH Geometry Chapter 1 - Tools of Geometry

Point A location represented as a small dot, named by a capital letter.
Space Space is defined as the set of all points
Line A series of points that extends in two opposite directions without end.
Collinear points Points that lie on the same line
Plane A flat surface that has no thickness and extends in all directions without end.
Coplanar Points and lines in the same plane.
Postulate/Axiom An accepted statement or fact.
Through any two points there is exactly ___line. one
Postulate If two lines intersect, then they intersect in exactly one ____. point
Postulate If two planes intersect, then they intersect in exactly one ___ line
Postulate Through any three noncollinear points there is exactly one ___ plane
Segment The part of a line consisting of two endpoints and all points between them.
Ray The part of a line consisting of one endpoint and all the points on one side of the endpoint.
Opposite Rays Two collinear rays with the same endpoint; opposite rays always form a line.
Parallel Lines Coplanar lines that do not intersect.
Skew Lines Skew lines are noncoplanar; therefore, they are not parallel and do not intersect.
Parallel Planes Planes that do not intersect, and are not skew.
Ruler Postulate every point has a name.
Congruent Segments Two segments with the same length are congruent (≡) segments.
Segment Addition Potulate part + part = whole
Midpoint A point that divides a segment in two congruent segments.
Angle Two rays with the same endpoint (vertex).
Protractor Postulate (Postulate 1.7) Any angle can have only ___ measure at a time one
Acute Angle 0 < X < 90
Right Angle X = 90
Obtuse Angle 90 < X < 180
Straight Angle X = 180
Angle Addition Postulate part + part = whole
Perpendicular Lines Two lines that intersect to form right angles.
Perpendicular Bisector A line, segment, or ray that is perpendicular to the segment at its midpoint,
Angle Bisector A ray that divides an angle into two congruent angles. Its endpoint is at the vertex.
The Pythagorean Thm is used in the ___ The Distance Formula
The Midpoint Formula (average x, average y)
Bisectors always make twins
Perpendicular means at a right angle
If a two lines do not intersect, then they must be ___ or ___ to each other skew or parallel
You can name a line by using any ___ 2 points on the line
When naming an angle, the ____ must be in the middle vertex
Numbers can be ____ but figures can be ____ equal , congruent
A compass is used to copy ____ distance
The three undefined terms of Geometry are ___ Point, line, and plane
2l + 2w = ____ Perimeter of a rectangle
Created by: criswell216