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Geometry exam prep 1
Geometry
| Question | Answer |
|---|---|
| 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
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