EscComplete the following proofs. Some may require CPCTC.InsertDe6.Given: Q is the midpoint of PT and RSProve: APOR = ATOSBackspTabStatementsReasonsCaps Lock1.1.2.2.ift3.3.4.4.7.5.5.

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Answered: Complete the following proofs. Some may…

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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3. 10. ). Given: 24 and 45 are supplementary and 25 and 46 are supplementary. Prove: 97 7 Statements Reasons 1. 4 and 45 are supplementary. 1. 2. 25 and 46 are supplementary. 2. 3. mz4 + m45 = 180° 4. m25+ m26 = 180° 4. 5. mz4 + m45 = m25 + m26 5. 6. m24 = m26 %3D 7. 97 7 2
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II. Complete the following proofs. Given: ZA and ZB are supplementary. mZB = 7m.A - 20 %3D Prove: mZA = 25, mZB = 155 Statement Reason 1. ZA and ZB are supplementary. 1. 2. mZA + mzB = 180 2. %3D 3. mZB = 7mZA- 20 4. mzB + 7mZA - 20 5. 8MLA - 20 = 180 3. 180 4. 5. 6. 8MZA = 200 6. 7. mZA = 25 8. mzB = 7(25)- 20 9. mzB =155 7. 8. 9.
1. Given: AB DE, ¿B=ZE,and ZA=ZD в -F Prove: AABC=ADEF Statements 1. AB=DE Reasons 1. Given 2. 2.Given 3. ZAEZD 3. 4. 4.
In the proof below, what statement is needed in line 2 complete the proof? Given: AXY Z Prove: m/1+m22+ m23 = 180* W 4/1 2 Y 3 Statements Reasons 1. Through any point not on a line, there is exactly one line parallel to the given line. 1. Through point X, draw XW so that XW || YŹ 2. 2. Angle Addition Postulate 3. 22 4; 25 23 3. If parallel lines are cut by a transversal, then alternate interior angles are congruent. 4.m/2 = m4; m/5 = m23 4. Definition of congruent angles. 5. m/1+m22 + m/3 180 5. Substitution Property Sign SUS -> 女 @ #3 $ % & 4 7 8. W e r y u i S d f j k

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Complete the following proofs. Some may require CPCTC. Inse 6. Given: Q is the midpoint of PT and RS Prove: APOR = ATOS Statements Reasons ck 1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 7.