1. Given: AB intersects CD at O so that 21 is a right angle Prove: 2 and 23 are complementary

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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1. Given: AB intersects CD at O
so that 21 is a right angle
Prove: 22 and 23 are complementary
Proof:
Statements
Reasons
1. AB intersects cD at O
1.
2. ZAOB is a straight angle, MLAOB = 180
2.
3. m21 + M2C0B = MLA0B
3.
4. mz1 + M2COB = 180
5. 21 is a right angle
6. m21 = 90
7. 90+M2COB = 180
4.
5.
6.
7.
8. M2COB = 90
8.
9. m22 + m23 = M2COB
9.
10. m22 + m23 = 90
10.
11. 22 and 23 are complementary
11.
Transcribed Image Text:1. Given: AB intersects CD at O so that 21 is a right angle Prove: 22 and 23 are complementary Proof: Statements Reasons 1. AB intersects cD at O 1. 2. ZAOB is a straight angle, MLAOB = 180 2. 3. m21 + M2C0B = MLA0B 3. 4. mz1 + M2COB = 180 5. 21 is a right angle 6. m21 = 90 7. 90+M2COB = 180 4. 5. 6. 7. 8. M2COB = 90 8. 9. m22 + m23 = M2COB 9. 10. m22 + m23 = 90 10. 11. 22 and 23 are complementary 11.
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