3. Given: JCS is a right angle Prove: 21 and 22 are complementary angles Statements 1. ZJCS is a right angle 2. mZJCS = 90° 3. m21+mz2 = mZJCS 4. mz1 + mz2 = 90° 5. 21 and 22 are complementary angles 4. Given: 21 and 22 form a linear pair 21 is a right angle Prove: 22 is a right angle Statements 1 2 H 7 C Reasons Given 1. 2. 3. 4. 5. tw 12 U Y SS Reasons 1. 21 and 22 form a linear pair 2. 21 and 22 are supplementary 3. mz1 + mz2 = 180° 4. 21 is a right angle 5. mz1 = 90° 6.90° + mz2 = 180° 1. Given 2. Linear Pairs are Supplementary 3. Def of Supplementory angles 4. Given 5. 6. 7. 8. 22 is a right angle 8. 7. mz2 = 90° more than Equality Equality 3

3. Given: JCS is a right angle Prove: 21 and 22 are complementary angles Statements 1. ZJCS is a right angle 2. mZJCS = 90° 3. m21+mz2 = mZJCS 4. mz1 + mz2 = 90° 5. 21 and 22 are complementary angles 4. Given: 21 and 22 form a linear pair 21 is a right angle Prove: 22 is a right angle Statements 1 2 H 7 C Reasons Given 1. 2. 3. 4. 5. tw 12 U Y SS Reasons 1. 21 and 22 form a linear pair 2. 21 and 22 are supplementary 3. mz1 + mz2 = 180° 4. 21 is a right angle 5. mz1 = 90° 6.90° + mz2 = 180° 1. Given 2. Linear Pairs are Supplementary 3. Def of Supplementory angles 4. Given 5. 6. 7. 8. 22 is a right angle 8. 7. mz2 = 90° more than Equality Equality 3

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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