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| the point or points that two figures have in common |
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| portion of a line; definite beginning and ending; modeled with a line and a point on each end labeled with capitals |
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| a portion of a line; definite beginning and infinite in one direction;endpoint is named first then the point it passes through second |
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| distance between points; always positive; subtract coordinates if on a number line; take absolute value of that difference |
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| basic assumptions; statements accepted without proof |
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| two points on a line can be paired with real numbers;any two points could be named 0 and 1 ; use absolute value to get distance |
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| segment addition postulate |
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| if b is between a and c then ab+bc=ac |
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| the point that bisects the segment into two congruent segments |
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| a line, segment, ray, or plane that intersects the segment at its midpoint |
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| formed by two raysthat share an end point; named by three points with vertex in the middle; measured in degrees |
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| 2 rays that make up an angle |
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| larger than 90 degrees but smaller than 180 degrees |
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| on AB in a given plane, choose any point o between a and b. consider oa and ob and all the rays that can be drawn from o on one side of ab.these rays can be paired with real numbers from o to 180 |
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| if point b lies in the interior of |
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| two ang;es that share a common vertex and side but no common interior points |
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| a ray that divides an angle into two congruent adjacent angles |
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| a line contains at least two points; a plane contains at least three points not all in one line |
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| through any two points there is exactly one line |
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| through any three points ther is one plane and through any three non collinear points there is exactly one plane |
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| if two points are in a plane then the line that contains the points will also be in the plane |
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| if two planes intersect then their intersection is a line |
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| important statements that have to be proved |
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| if two lines intersect, they intersect in exactly one point |
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| through a line and a point not in the line, there is a plane |
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| if two lines intersect, then one plane contains the lines |
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| "exactly" and "one and only one" |
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| there exists a solution (at least one solution) and it is a unique solution(no more than one) |
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| two line in the same plane |
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| must be parallel or intersecting |
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| must be parallel or intersect in exactly one point or it contains the line |
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| must be parallel or intersecting in a line |
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