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©1998 ThinkQuest
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©1998 ThinkQuest
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| Postulate 9 | For any two points, there is exactly one line containing them. |
| Theorem 2.5 | Two lines intersect at exactly one point. |
| Postulate 10 | If two points of a line are in a given plane, then the line itself is in the plane. |
| Theorem 2.6 | If a line intersects a plane, but is not contained in the plane, then the intersection is exactly one point. |
| Postulate 11 | If two planes intersect, then they intersect in exactly one line. |
| Postulate 12 | Three noncollinear points are contained in exactly one plane. |
| Theorem 2.7 | A line and a point not on the line are contained in exactly one plane. |
| Theorem 2.8 | Two intersecting lines are contained in exactly one plane. |
| Postulate 13 | Alternate Interior Angles Postulate: If a transversal intersects two lines such that alternate interior angles are congruent (equal in measure), then the lines are parallel. |
| Theorem 3.1 | If a transversal intersects two lines such that corresponding angles are congruent, then the lines are parallel. |
| Theorem 3.2 | If two lines are intersected by a transversal such that interior angles on the same side of the transversal are supplementary, then the lines are parallel. |
| Theorem 3.3 | In a plane, if two lines are perpendicular to the same line, then they are parallel. |
| Theorem 14 | Parallel Postulate: Through a point not on a line, there is exactly one line parallel to the given line. |
| Theorem 3.4 | If two parallel lines are intersected by a transversal, then alternate interior angles are congruent. |
| Theorem 3.5 | If two parallel lines are intersected by a transversal, then corresponding angles are congruent. |
| Theorem 3.6 | If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are supplementary. |
| Theorem 3.7 | If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other. |
| Theorem 3.8 | In a plane, if two lines are parallel to the line, then they are parallel to each other. |
| Theorem 3.9 | The sum of the measures of the angles of a triangle is 180. |
| Theorem 3.10 | Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles. |
| Theorem 3.11 | If two parallel planes are intersected by a third plane, then the lines of intersection are parallel. |
Note: The concepts in this collection may
not be entirely accurate.
They are for reference only.
PREPARING