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Geometry Ch 1
Stepp's PH Geometry Chapter 1 - Tools of Geometry
| Question | Answer |
|---|---|
| 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
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