Postulates and also theorems relating to parallel lines and also transversals -- straight from the text. Great for practicing complete and accurate wording so you will use them properly in future proofs. -- Theorem numbers are provided only for reference to the textbook. The important parts come study space the words of the theorems themselves, together with their meanings.

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Postulate 3-1 matching Angles
 AB If 2 parallel lines are cut by a transversal, then each pair of matching angles is congruent. Theorem 3-1 alternating Interior If two parallel lines are cut by a transversal, then each pair of alternating interior angle is congruent, Theorem 3-2 Consecutive internal Angles If 2 parallel lines are reduced by a transversal, then each pair the consecutive interior angles is supplementary Theorem 3-3 alternative Exterior Angle If 2 parallel currently are cut by a transversal, climate each pair of alternative exterior angle is congruent, Theorem 3-4 Perpendicular Transversal In a plane, if a heat is perpendicular to one of two parallel lines, then it is perpendicular come the other. Postulate 3-5 Parallel Postulate If over there is a line and a allude not ~ above the line, climate there exists precisely one heat though the suggest that is parallel to the given line. Postulate 3-4 matching Angles (converse) If two lines in a aircraft are reduced by a transversal therefore that corresponding angles space congruent, then the lines space parallel. Theorem 3-5 Alt Ext angles (converse) If 2 lines in a airplane are reduced by a transversal so the a pair of alternating exterior angles is congruent, climate the two lines room parallel. Theorem 3-6 Consecutive angle (converse) If two lines in a aircraft are reduced by a transversal so the a pair of consecutive interior angles is supplementary, then the lines space parallel. Theorem 3-8 Perpendicular present (converse) In a plane, if two lines space perpendicular come the very same line, climate they space parallel. Theorem 3-7 Alt Int angle (converse) If two lines in a aircraft are cut by a transversal so the a pair of alternating interior angles is congruent, climate the 2 lines room parallel. Postulate 3-2 Parallel Postulate Two nonvertical lines have actually the exact same slope if and also only if they space parallel. Postulate 3-3 Perpendicular Postulate Two nonvertical lines space perpendicular if and also only if the product of their slopes is -1. Theprem 2-1 Segment Congruence Congruence of segment is reflexive, symmetric, and transitive Theorem 2-2 LP complement Theorem If 2 angle for a direct pair, climate they are supplementary angles. Theorem 2-3 edge Congruence Congruence of angles is reflexive, symmetric, and also transitive. Theorem 2-4 Supplementary Angles Angles supplementary come the exact same angle or to congruent angles are congruent.See more: All About Ice Cream: Difference Between New York Style Vanilla Ice Cream 1Gl Theorem 2-5 security Angles Angles complementary come the exact same angle or come congruent angles space congruent. .tags a { color: #fff; background: #909295; padding: 3px 10px; border-radius: 10px; font-size: 13px; line-height: 30px; white-space: nowrap; } .tags a:hover { background: #818182; } Home Contact - Advertising Copyright © 2022 usmam.org #footer {font-size: 14px;background: #ffffff;padding: 10px;text-align: center;} #footer a {color: #2c2b2b;margin-right: 10px;}