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
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