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Name: _____________________________ Period: ________ Date: _______________ Geometry 2.8 Notes Laws/Postulates/Theorems to Use in Proofs Name of Law Postulate 2.10 Protractor Postulate • Given ray AB and a number r between 0 and 180, there is exactly one ray with endpoint A extending on either side of ray AB, such that the measure of the angle formed is r. Postulate 2.11 Angle Addition Postulate If R is in the interior of PQS, then mPQR + mRQS = m PQS. Theorem 2.3 Supplement Theorem • If two angles form a linear pair, then they are supplementary angles. Theorem 2.4 Complement Theorem • If the non-common sides of two adjacent angles form a right angle, then the angles are complementary angles. Reflexive Symmetric Transitive • Angles supplementary to the same angle or to congruent angles are congruent. Theorem 2.5 Properties of Angle Congruence Theorem 2.6 Congruent Supplements Theorem Statement of Law Example/Sketch Theorem 2.7 Congruent Complements Theorem Theorem 2.8 Vertical Angles Theorem • Angles complementary to the same angle or to congruent angles are congruent. • If two angles are vertical angles, then they are congruent. • Perpendicular lines intersect to form four right angles. • All right angles are congruent. • Perpendicular lines form congruent adjacent angles. • If two angles are congruent and supplementary, then each angle is a right angle. • If two congruent angles form a linear pair, then they are right angles. Theorem 2.9 Theorem 2.10 Theorem 2.11 Theorem 2.12 Theorem 2.13