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Geometry – Lines and Angles Two lines are parallel in a plane (2-dimensional space) if they never cross (like railroad tracks!) Two lines are perpendicular in a plane if they cross in 90o angles. Two angles are complementary if their measures add to be 90o. Two angles are supplementary if their measures add to be 180o. Congruent: coinciding exactly when superimposed. (American Heritage Dictionary, 4th ed.) Acute Angle: An angle measuring between 0o and 90o. (“acute” means “sharp”.) Right Angle: An angle measuring exactly 90o. (A “square corner”) Obtuse Angle: An angle measuring between 90o and 180o. (“obtuse” means “blunt”) Straight Angle: An angle measuring exactly 180o. (A line!) 3 2 4 1 ` 5 6 Vertical Angles - ∠1 and ∠4, ∠2 and ∠5, ∠3 and ∠6. Vertical angles are “backed up” to each other. Notice, they have the same measure. (Congruent)