2.5_Angle_Theorems - Given 2. supp. s sum = 180 3. sub. B...

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Angle Theorems
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If two angles form a linear pair, then they are supplementary.
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Given: 1 & 2 are a linear pair Prove: 1 & 2 are supplementary 1 & 2 are a linear pair of angles formed by opposite rays BA and BC. Opposite rays form a straight angle so m ABC = 180°. By angle addition, m ABC = m 1 + m 2. Using substitution 180° = m 1 + m 2. Therefore by definition of supplementary angles, 1 & 2 are supplementary. 2 1 A B C
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If two angles form a linear pair, then the sum of the angles is 180°.
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Given: 1 2 are a linear pair Prove: m 1 + m 2 = 180° 1. 2 are a linear pair 2. 1 + 2 are supplementary 3. m 1 + m 2 = 180° statements 1. Given 2. Linear pair supp. 3. supp. ’s sum 180° 2 1
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Supplements of the same angle or congruent angles are congruent.
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Given: A B are supplementary C B are supplementary Prove: A C 1. B are supp. C & B are supp. 2. m A + B = 180° m C + B = 180° 3. m A + m B = m C + m B statements 1.
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Unformatted text preview: Given 2. supp. s sum = 180 3. sub. B reasons C A 4. m A = m C 4. 5. A C 5. = Complements of the same angle or congruent angles are congruent. Given: A & B are complementary C & B are complementary Prove: A C 1. A & B are comp. C & B are comp. 2. m A + B = 90 m C + B = 90 3. m A + m B = m C + m B statements 1. Given 2. comp. s sum = 90 3. sub. B reasons C A 4. m A = m C 4. 5. A C 5. = Verticals angles are congruent. Given: A & B are vertical angles Prove: A C 1. A & C are vertical s 2. A & B are a linear pair C & B are a linear pair 3. A & B are supp. C & B are supp. statements 1. Given 2. Def linear pair 3. Linear pair supp. B reasons C D 4. A C 4. Supp. s A...
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This note was uploaded on 09/20/2011 for the course ALGEBRA idk taught by Professor White during the Spring '11 term at University of Houston.

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2.5_Angle_Theorems - Given 2. supp. s sum = 180 3. sub. B...

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