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Direction: Complete the two-column proof of the given theorem. Write your answers on the space provided. Complement Theorem If two angles are complementary to the same angle or congruent angles, then they are congruent. Given: 1 and 22 are complementary 43 and 2 are complementary STATEMENT 21 and 22 23 and 22 are REASON complementary.- mz1 + mz2 = 90° m23 + mz2 = 90° Prove: 41 L3 2. m21 + mz2 = m23 + mL2 3. m21 = m23 4. 21 23 5. Assessment 1.

Direction: Complete the two-column proof of the given theorem. Write your answers on the space provided. Complement Theorem If two angles are complementary to the same angle or congruent angles, then they are congruent. Given: 1 and 22 are complementary 43 and 2 are complementary STATEMENT 21 and 22 23 and 22 are REASON complementary.- mz1 + mz2 = 90° m23 + mz2 = 90° Prove: 41 L3 2. m21 + mz2 = m23 + mL2 3. m21 = m23 4. 21 23 5. Assessment 1.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Definition of straight angle Angle addition Postulate Are supplementary mz1+ mz2 180 mz3 + mz2 180 mz1+ mz2 m23+mz2 mz1 m3 21 L3 Def. of supplementary angles Transitive Prop. Eq Subtraction Prop. Ea Def of Congruent ang MLAOB+mzBOC =LAOC MLAOB + mLBOC=180 Substitution Prop. Of Equality LAOBand LBOC Def. of are supplementary Supplementary angles Learning Activity C Direction: Complete the two-column proof of the given theorem. Write your answers on the space provided. Complement Theorem If two angles are complementary to the same angle or congruent angles, then they are congruent. Given: 1 and 22 are complementary 43 and 2 are complementary STATEMENT REASON 1 and 22 23 and 22 are 1. complementary. m21+ mz2 = 90° m23+ m22 = 90 2. Prove: 1 43 m21 + mz2 = m23 + m2 3. m21 = m23 4. 21 23 5. Assessment Directions: Identify what is being asked in each question. Write the letter of the correct answer on the space 1. In figure 1, what will be the conclusion if AL bisects ZSAT? A. m SLA = MZTLA B. MZSAL = MZTAL C. SL = LT D. AL LS 2. In figure 2, which of the following reasons is needed to prove that OP = MP? S A. TP bisects OM %3D Figure 1 B. 2OPT and ZMPT are linear pair
Transcribed Image Text:Definition of straight angle Angle addition Postulate Are supplementary mz1+ mz2 180 mz3 + mz2 180 mz1+ mz2 m23+mz2 mz1 m3 21 L3 Def. of supplementary angles Transitive Prop. Eq Subtraction Prop. Ea Def of Congruent ang MLAOB+mzBOC =LAOC MLAOB + mLBOC=180 Substitution Prop. Of Equality LAOBand LBOC Def. of are supplementary Supplementary angles Learning Activity C Direction: Complete the two-column proof of the given theorem. Write your answers on the space provided. Complement Theorem If two angles are complementary to the same angle or congruent angles, then they are congruent. Given: 1 and 22 are complementary 43 and 2 are complementary STATEMENT REASON 1 and 22 23 and 22 are 1. complementary. m21+ mz2 = 90° m23+ m22 = 90 2. Prove: 1 43 m21 + mz2 = m23 + m2 3. m21 = m23 4. 21 23 5. Assessment Directions: Identify what is being asked in each question. Write the letter of the correct answer on the space 1. In figure 1, what will be the conclusion if AL bisects ZSAT? A. m SLA = MZTLA B. MZSAL = MZTAL C. SL = LT D. AL LS 2. In figure 2, which of the following reasons is needed to prove that OP = MP? S A. TP bisects OM %3D Figure 1 B. 2OPT and ZMPT are linear pair
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