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Discovering Geometry Chapter 2 Vocabulary & Conjectures Section Term/Definition/Conjecture Inductive Reasoning Picture 2.1 Conjecture 2.1 Rectangular Numbers 2.1 Deductive Reasoning 2.4 2.5 2.5 Linear Pair Conjecture Vertical Angle Conjecture If two angles form a linear pair, then _________________________________ _________________________________ If two angles are vertical angles, then _________________________________ _________________________________ Converse 2.5 Transversal 2.6 Corresponding Angles 2.6 Alternate Exterior Angles 2.6 1 Alternate Interior Angles 2.6 Consecutive Interior Angles 2.6 Consecutive Exterior Angles 2.6 2.6 CA Conjecture If two parallel lines are cut by a transversal, then the corresponding angles are ___________________. 2.6 AIA Conjecture If two parallel lines are cut by a transversal, then the alternate interior angles are _______________. 2.6 AEA Conjecture If two parallel lines are cut by a transversal, then the alternate exterior angles are ________________. 2.6 CIA Conjecture (not in book) If two parallel lines are cut by a transversal, then the consecutive interior angles are ________________. 2.6 2.6 Parallel Lines Conjecture Converse Parallel Lines Conjecture If two parallel lines are cut by a transversal, then the corresponding angles are ______________, the alternate interior angles are ______________, and the alternate exterior angles are ______________. If two lines are cut by a transversal to form congruent corresponding angles, congruent alternate interior angles, and congruent alternate exterior angles, then the lines are ______________. 2 3