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Angle Relationships

Angle Relationships. Lesson Objective. Discover relationships between special pair of angles. Vocabulary . Adjacent angles, linear pair angles , vertical angles.

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Angle Relationships

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  1. Angle Relationships Lesson Objective Discover relationships between special pair of angles. Vocabulary . Adjacent angles, linear pair angles, vertical angles

  2. Adjacent angles are two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points.  Examples A A C B C B D D No example C A B D

  3. A Linear pair is a pair of adjacent angles whose noncommon sides are opposite ray Example No example A A B C C D B D B,D, and C are no collinear

  4. Vertical anglesare angles opposite to one another at the intersection of two lines. (vertical angles are congruent)  Geogebra Examples No example A A B D C B C E D

  5. Supplementary angles: Two angles that add up to 180° A ∠BDA and ∠ADC are supplementary B C D ∠A and ∠B are supplementary B A

  6. Complementary angles: Two angles that add up to 90° P Q Y X 1 R 2 Z ∠1 and ∠2 are complementary ∠PQR and ∠XYZ are complementary

  7. Perpendicular lines meet to form right angles  The little symbol       ("corner") is used to indicate a right angle. is read perpendicular to D B C A

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