Term
| Distance between two points on a line |
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Definition
|a-b|
The absolute value of the difference of their coordinates. |
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At a slant
has both x and y values in the equation |
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Term
| Slope-Intercept form of a line |
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Definition
y = mx + b
m is slope
b is y-intercept |
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Definition
Change in y over Change in x
(y2-y1)/(x2-x1)
Rise/Run
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Definition
| the geometry of networks using arcs and nodes(vertices) |
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Definition
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Definition
| All the points are collinear |
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Definition
| All the points are coplanar |
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Definition
| The points lie in more than one plane |
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| Assumptions made in mathematics |
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Definition
| A statment that follows from postulates or definitions and must be proven |
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Term
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Definition
| Through any two points there is exactly one line. |
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Term
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Definition
| Every line is a set of points that can be put into a one-to-one correspondence with the real numbers, with any point corresponding to 0 and any other point corresponding to 1. |
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Term
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Definition
1. There are at least two points in space.
2. Given a line in a plane, there is at least one point in the plane that is not on the line.
3. Given a plane in space, there is at least one point in space that is not in the plane. |
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Term
| Line Intersection Theorem |
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Definition
| Two different lines intersect in at MOST one point |
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Definition
| two lines that have no points in common or they are identical |
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Term
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Definition
| a point is between two other points if it is on the same line and its coordinate is between their coordinates |
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Definition
| has endpoints A and B and is the set of distinct points A and B and all of the points between A and B |
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Definition
| Has an endpoint A and contians a second point B. Cosists of the points on line segment AB and all the points for which B is between the point and A. |
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Term
| Additive Property of Distance |
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Definition
| If B is on segment AC, then AB + BC = AC |
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Term
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Definition
| Dynamic Geometry System (on the TI-Nspire) |
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Term
| Triangle Inequality Postulate |
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Definition
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
AB + BC > AC
BC + AC > AB
AB + AC > BC |
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Term
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Definition
| If two points on a line have coordinates a and b, the distance between them is |a-b|. |
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