Proofs: Postulates
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Created by:
cynthia_yue on April 16, 2012
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13 terms
English | Math / Symbols |
|---|---|
 Line Postulate | You can construct exactly one line through any two points. In other words, two points determine a line. |
| Line Intersection Postulate | The intersection of two distinct lines is exactly one point. |
| Segment Duplication Postulate | You can construct a segment congruent to another segment. |
| Angle Duplication Postulate | You can construct exactly one angle bisector in any angle |
| Parallel Postulate | Through a point not on a given line, you can construct exactly one line parallel to the given line. |
| Perpendicular Postulate | Through a point not on a given line, you can construct exactly one line perpendicular to the given line. |
| Segment Addition Postulate | If point B is on line segment AC and between points A and C, then AB + BC = AC. |
| Angle Addition Postulate | If point D lies in the interior of ∠ABC, then m∠ABD + m∠DBC = m∠ABC. |
| Linear Pair Postulate | If two angles are a linear pair, then they are supplementary. |
| Corresponding Angles Postulate | If two parallel lines are cut by a transversal, then the corresponding angles are congruent. Conversely, if two lines are cut by a transversal forming congruent corresponding angles, then the lines are parallel. |
| SSS Congruence Postulate | If the three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. |
| SAS Congruence Postulate | If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruent. |
| ASA Congruence Postulate | If two angles and the included side in one triangle are congruent to two angles and the included side in another triangle, then the two triangles are congruent. |
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