Given: MNOP sa paralelogram with mePMN - meOPM. Prove: MNOP a rectangle. Statements Reasons 1. Given 1. MNOP sa paralelogram with mePMN - meOPM. 2. maPMN + meOPM - 100 3.me PMN + mePMN - 180 420ma PMN) - 100 4. Combining ike terms 5. mePMN - 90 6.me OPM - 10 4. Substitution 7. PMN ANOP 7. LOPM MNO 8. meNOP - 0 meMNO - 90 a. Substitution 9. Definition of a rectangle
Given: MNOP sa paralelogram with mePMN - meOPM. Prove: MNOP a rectangle. Statements Reasons 1. Given 1. MNOP sa paralelogram with mePMN - meOPM. 2. maPMN + meOPM - 100 3.me PMN + mePMN - 180 420ma PMN) - 100 4. Combining ike terms 5. mePMN - 90 6.me OPM - 10 4. Substitution 7. PMN ANOP 7. LOPM MNO 8. meNOP - 0 meMNO - 90 a. Substitution 9. Definition of a rectangle
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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Given: MNOP sa paralelogram with mLPMN = MLOPM.
Prove: MNOP s a rectangle.
Statements
Reasons
1. Given
1. MNOP is a paralelogram with mePMN -
MLOPM.
2. mePMN + meOPM = 180
3.me PMN + MEPMN = 180
42(me PMN) - 1s0
4. Combining ike terms
5. mePMN-90
6.me OPM -o
6. Substitution
7.
LPMN ENOP
7.
LOPM LMNO
8. mENOP- 90 meMNO - 90
8. Substitution
9. Definition of a rectangle
Page 4ef4 s words R
Tet PredictionE On
950 PM
/2021](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6aa1665-ee3a-45eb-9581-c9390cc7e90b%2F7b9b13e2-5d93-4ddd-8350-aeadf48b4d80%2Fum4io1_processed.png&w=3840&q=75)
Transcribed Image Text:Autelave O A 2. 0
Janes, Tan Geometry
P Sech
A lonya MeT TM
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Design
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View
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PComments
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Pind-
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X Cut
- 1 - A A Aa- AE- E-E- a 24
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Aatbcct Aasbce AaBbC AabbCet AaB Aasbcet
1Nomal 1No Spa Heading Heading 2
Calri
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Paragragh
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tater ee Fies
Given: MNOP sa paralelogram with mLPMN = MLOPM.
Prove: MNOP s a rectangle.
Statements
Reasons
1. Given
1. MNOP is a paralelogram with mePMN -
MLOPM.
2. mePMN + meOPM = 180
3.me PMN + MEPMN = 180
42(me PMN) - 1s0
4. Combining ike terms
5. mePMN-90
6.me OPM -o
6. Substitution
7.
LPMN ENOP
7.
LOPM LMNO
8. mENOP- 90 meMNO - 90
8. Substitution
9. Definition of a rectangle
Page 4ef4 s words R
Tet PredictionE On
950 PM
/2021
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