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

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Presentation on theme: "Angle Relationships Lesson Objective Discover relationships between special pair of angles. Vocabulary. Adjacent angles, linear pair angles, vertical angles."— Presentation transcript:

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. A C B D A C B D A C B D Examples No example 

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

4 Vertical angles are angles opposite to one another at the intersection of two lines. (vertical angles are congruent) E C B D A C B D ExamplesNo example A  Geogebra

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

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

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


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