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Geometry exam prep 1


Inductive Reasoning is reasoning that is based on patterns you observe.
Conjecture a conclusion you reach using inductive reasoning
Counterexample is an example for which the conjecture is incorrect
Point like a location
Space set of all points
Line a series of points that extends in two opposite direction without end. You can name a line by any two points on the line, such as. Another way to name a line is with a single lowercase letter such as line t.
Collinear Points points that lie on the same line
Plane is a flat surface that has no thickness. A plane contains many lines and extends without end in the direction of all its lines. You can name a plane by either a single capital letter, or by a least three noncollinear points
Coplanar Points and lines in the same plane
Postulate or axiom is an accepted statement of fact
Postulate 1-1 Through any two points there is exactly one line
Postulate 1-2 If two lines intersect, then they intersect in exactly one point
Postulate 1-3 If two planes intersect, then they intersect in exactly one line
Postulate 1-4 Through any tree noncollinear points there is exactly one plane
Segment is the part of a line consisting of two endpoints and all points between them
Ray is the part of a line consisting of one endpoint and all of the points of the line on one side of the endpoints
Opposite Rays are two collinear rays with the same endpoint. Opposite rays always form a line
Parallel Lines coplanar lines that do not intersect
Skew Lines are noncoplanar; therefore, they are not parallel and do not intersect
Parallel Planes are planes that do not intersect
Postulate 1-5 Ruler Postulate The points of a line can be put into one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers
Congruent segments two segments with the same length
Midpoint of a segment is a point that divides a segment into two congruent segments. A midpoint is said to bisect the segment
Angle is formed by two rays with the same endpoint. The rays are the sides of the angle. The endpoint is the vertex of the angle
Acute Angle 0 < x < 90
Right Angles x = 90
Obtuse Angle 90 < x < 180
Straight Angle = 180
Congruent Angles angles with the same measure
Perpendicular Lines are two lines that intersect to form right angles.
Angle Bisector is a ray that divides an angle into two congruent coplanar angles
Perpendicular Bisector of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint, thereby bisecting the segment into two congruent segments
Created by: AnimalLover18