Presentation on theme: "Proving Angle Relationships Section 2-8. Protractor Postulate Given and a number r between 0 and 180, there is exactly one ray with endpoint A, extending."— Presentation transcript:
Protractor Postulate Given and a number r between 0 and 180, there is exactly one ray with endpoint A, extending on either side of, such that the measure of the angle formed is r.
Angle Addition Postulate If R is in the interior of, then Converse is also true. P S Q R
Supplement Theorem (2.3) If 2 angle form a linear pair, then they are supplementary angles. 120 60
Complement Theorem (2.4) If the noncommon sides of 2 adjacent angles form a right angle, then the angles are complementary angles.
Theorem 2-5 Congruence of angles is reflexive, symmetric, and transitive.
Theorems 2-6 and 2-7 Angles supplementary to the same angle or to congruent angles are congruent. Angles complementary to the same angle or to congruent angles are congruent.
Theorems 2.8 - 2.13 All right angles are congruent.(2.10) Vertical angles are congruent.(2.8) Perpendicular lines intersect to form 4 right angles. (2.9) 40 140
Perpendicular lines form congruent adjacent angles. (2.11) If 2 angles are congruent and supplementary, then each angle is a right angle. (2.12) If 2 congruent angles form a linear pair, then they are right angles.
Joke Time Why do bees have sticky hair? Because they have honeycombs!