Term
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Definition
| -has no definite size -everything is made up of points -represented with a dot -named by a capital letter |
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Definition
| -made of many points -continuous -no thickness -named by 2 points on the line or a lowercase cursive letter |
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Definition
| -represented by a quadrilateral shape -flat surface with no thickness; continuous -named by a capital letter in the corner or by three points in the plane |
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Definition
| -the set of all points -no representative |
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Definition
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Definition
| points not on the same line |
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Definition
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Definition
| points not in the same plane |
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Definition
| place where geometric figures 'meet' or 'cut' through each other |
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Term
| What is the intersection of 2 lines? 2 planes? line and a plane? |
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Definition
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Definition
| a part of a line with 2 end points |
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Definition
| a part of a line that contains 1 end point and goes on forever in the other direction |
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Term
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Definition
| rays that have the same endpoint but go in opposite directions |
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Term
| equation for the length or distance of a segment |
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Definition
| the absolute value of the difference of 2 coordinates |
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Term
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Definition
| -you can use any coordinate to set up a problem -once the coordinate system is set up, you can use it to find the distance or length |
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Term
| Segment addition postulate |
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Definition
| AB+BC=AC (if B is between A&C) |
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Term
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Definition
| same size & shape (equal sign with squiggly on top) |
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Term
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Definition
| 2 segments with the same length |
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Term
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Definition
| a point on a segment that divides the segment into 2 equal parts |
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Term
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Definition
| a line, ray, segment, or plane that cuts a segment into 2 equal parts |
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Term
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Definition
| formed by 2 rays that intersect at their end points called a vertex |
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Term
| degrees of acute, obtuse, right, and straight angles |
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Definition
| acute:1-89 obtuse:91-179 right:90 straight:180 |
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Term
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Definition
| angles that have the same measure |
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Term
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Definition
| 2 angles that have a common side & vertex but do not share any interior pts |
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Term
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Definition
| once you assign a ray with the degree of 0 and another ray with a degree of 180, all other rays from that vertex are a degree between 0-180 |
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Term
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Definition
| the measure of one angle + the measure of another adjacent angle = the measure of both angles combined |
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Term
| the postulate that explains how many points are in a line, plane, and space (postulate A) |
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Definition
| a line contains at least 2 points, a plane contains at least 3 points, a space contains at least 4 points |
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Term
| postulate that explains how many lines are between points (Postulate B) |
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Definition
| through any two points, there is exactly 1 line |
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Term
| postulate that explains how many planes contain 3 points (postulate C) |
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Definition
| through any 3 points there is at least 1 plane. through any 3 non-collinear points, there is exactly 1 plane |
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Term
| postulate that explains how a line that has 2 points in a plane is also in a plane (postulate D) |
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Definition
| if 2 points are in a plane, then the line that contains them is also in that plane |
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Term
| postulate that explains what is at the intersection of 2 planes (Postulate E) |
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Definition
| if 2 planes intersect, then their intersection is a line |
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Term
| theorem that explains what is at the intersection of two lines (Theorem 1) |
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Definition
| If 2 lines intersect, then they intersect at a point |
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Term
| theorem that explains how many planes there are through a line and a point (theorem 2) |
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Definition
| through a line and a point not on the line, there is exactly 1 plane |
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Term
| theorem that explains how many planes contain 2 intersecting lines (theorem 3) |
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Definition
| if 2 lines intersect, then exactly 1 plane contains them |
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