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Chapter 1 Vocab
Geometry - Mrs. Sprouse
| Term | Definition |
|---|---|
| point | a location that has no size or shape |
| point | always named by a capital letter (t) |
| line | needs at least 2 points |
| line | always named by a lowercase letter |
| line | never ends |
| line segment | a line with two endpoints |
| ray | a line with one endpoint |
| plane | a flat surface that extends indefinitely in all directions |
| plane | needs at least three points to exist |
| plane | always named by an uppercase letter (e) |
| collinear points | points that lie in the same line |
| coplanar points | points that lie in the same plane |
| coplanar points | consists of any 3 noncollinear points |
| congruent segments | when segments have the same length as another |
| segment addition postulate | If A, B, and C are collinear points and B is in between A and C, then AB + BC = AC. |
| distance formula | the square root of the sum of the squared differences of x and the squared differences of y |
| midpoint formula | the sum of x (or y) and x (or y) divided into 2 |
| segment bisector | a line, ray, or segment that intersects a segment at its midpoint is said to bisect the segment |
| directed line segment | a line segment with an associated direction |
| horizontal component | run (x2 - x1) |
| vertical component | rise (y2 - y1) |
| perpendicular lines | two lines that intersect at a right angle |
| perpendicular bisector | a line, segment, or ray that is perpendicular to a segment at its midpoint |
| parallel lines | two lines having the same slope |
| angle | formed by two rays with a common endpoint |
| vertex | the common endpoint that is on an angle |
| right angle | equal to 90 degrees |
| acute angle | less than 90 degrees |
| obtuse angle | greater than 90 degrees |
| straight angle | equal to 180 degrees |
| congruent angles | when the measure of one angle is equal to the measure of another angle |
| adjacent angles | two angles that are next to each other and share a common side |
| angle addition postulate | If D is in the interior of <ABC, then <ABD + <CBD = <ABC. |
| angle bisector | a ray that divides an angle into 2 congruent angles |
| vertical angles | two angles across from each other on intersecting lines and are always congruent |
| complementary angles | any two angles whose sum is 90 degrees |
| supplementary angles | any two angles who sum is 180 degrees |
| linear pair | two angles that are adjacent and supplementary |
| linear pair | two angles that form a straight line |