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
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
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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
Transcribed Image Text:Autelave O A 2. 0 Janes, Tan Geometry P Sech A lonya MeT TM File Design References Mailings Review View Help d Share PComments Home Insert Layout Pind- Replace Select X Cut - 1 - A A Aa- AE- E-E- a 24 BIU-x x A--A- E E - - - Aatbcct Aasbce AaBbC AabbCet AaB Aasbcet 1Nomal 1No Spa Heading Heading 2 Calri Copy Pate Dictate Seny dte Reuse Files Tele Sube fomat Painter Cipbeerd Fent Paragragh Styles Eating Viee Senstty 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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