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2. Given: mZ1= m23 Prove: m/DEG=MZHEF 2 1 D E F Statements Reasons 1. m2l=m23 1. 2. m22=mZ2 2. 3. m21+mZ2=mZ3+mZ2 3. MZDEG=mZI+mZ2; 4. 4. MZHEF = mZ3+mZ2 5. MZDEG=MZHEF 5.

2. Given: mZ1= m23 Prove: m/DEG=MZHEF 2 1 D E F Statements Reasons 1. m2l=m23 1. 2. m22=mZ2 2. 3. m21+mZ2=mZ3+mZ2 3. MZDEG=mZI+mZ2; 4. 4. MZHEF = mZ3+mZ2 5. MZDEG=MZHEF 5.

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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2.6 Day 1 Homework: I can prove statements about segments and angles. Given: ZLMO S ENMP Prove: LMPS ZNMO Statements Reasons a. b. MZLMO = MZNMP b. c. MZLMO=mzLMP+m<PMO C. MZNMP=mZ NMO +mzPMO d. mzLMP+MLPMO=m2 NMO +M<PMO e. mzLMP=mzNMO f. ZLMP S ZNMO f. Given: AC BD Prove: AB CD Statements Reasons a. AC BD b. AC = BD a. b. c. AB + BC = AC C. d. BC + = d. Segment Addition Postulate e. AB + BC = BC + CD e f. Subtraction Property g. Definition of Congruent Segments f. g. Given: B is the midpoint of AC B Prove: AB = AC Statements Reasons a. Bis the midpoint of AC a. b. AB = BC b. с. АВ + ВС AC с. d. AB + AB = AC d. e. 2AB = AC e. f. AB = AC f.
Transcribed Image Text:2.6 Day 1 Homework: I can prove statements about segments and angles. Given: ZLMO S ENMP Prove: LMPS ZNMO Statements Reasons a. b. MZLMO = MZNMP b. c. MZLMO=mzLMP+m<PMO C. MZNMP=mZ NMO +mzPMO d. mzLMP+MLPMO=m2 NMO +M<PMO e. mzLMP=mzNMO f. ZLMP S ZNMO f. Given: AC BD Prove: AB CD Statements Reasons a. AC BD b. AC = BD a. b. c. AB + BC = AC C. d. BC + = d. Segment Addition Postulate e. AB + BC = BC + CD e f. Subtraction Property g. Definition of Congruent Segments f. g. Given: B is the midpoint of AC B Prove: AB = AC Statements Reasons a. Bis the midpoint of AC a. b. AB = BC b. с. АВ + ВС AC с. d. AB + AB = AC d. e. 2AB = AC e. f. AB = AC f.
H G 2. Given: mZ1=m23 Prove: m/DEG=MZHEF 2 1 E F Statements Reasons 1. m21=mZ3 1. 2. m22=m2 2. 3. mZ1+mZ2=mZ3+mZ2 3. MZDEG=mZI+mZ2; 4. 4. MZHEF = mZ3+mZ2 5. MZDEG=MZHEF 5.
Transcribed Image Text:H G 2. Given: mZ1=m23 Prove: m/DEG=MZHEF 2 1 E F Statements Reasons 1. m21=mZ3 1. 2. m22=m2 2. 3. mZ1+mZ2=mZ3+mZ2 3. MZDEG=mZI+mZ2; 4. 4. MZHEF = mZ3+mZ2 5. MZDEG=MZHEF 5.
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