Mr. Williams had this proof on the board. He asked the class to come up with the reasons to prove each statement is true. Which would not be a reason?Given: Circle E with radius EB and Chord AC EB LACProve: Arc AB Arc CBStatements1. Circle E with radius EB and Chord AC.EB L AC.2 Draw EA and EC3. mzADE and M/CDE are both 904 AADE and ACDE are both righttriangles5. EA EC6 ED ED7. CADES ZCDE8. ZAED ZCED9 Arc AB Arc CBReasons123.4.19.O Through any 2 points there exists exactly one lineO CPCTCO SASO HLype here to searchF2F3F4F5F6F7F8F9F10F112324&234678.9.WETYUDFHK立O o o oA

Given that, on the circle E, EB⊥AC. We need to prove that Arc AB≅Arc CB.

Given: Circle E with radius EB and Chord AC EB LAC Prove: Arc AB Arc CB Statements 1. Circdle E with radius EB and Chord AC. EB I AC 2 Draw EA and EC 3. mzADE and mzCDE are both 90 4. AADE and ACDE are both right| triangles 5. EA EC 6. ED ED 7. ZADE ZCDE 8. LAED 2CED 9. Arc AB Arc CB Reasons 1. 2. 3. 4. 5. 6. 7. 8. 9. O Through any 2 points there exists exactly one line O CPCTC

Given: Circle E with radius EB and Chord AC EB LAC Prove: Arc AB Arc CB Statements 1. Circdle E with radius EB and Chord AC. EB I AC 2 Draw EA and EC 3. mzADE and mzCDE are both 90 4. AADE and ACDE are both right| triangles 5. EA EC 6. ED ED 7. ZADE ZCDE 8. LAED 2CED 9. Arc AB Arc CB Reasons 1. 2. 3. 4. 5. 6. 7. 8. 9. O Through any 2 points there exists exactly one line O CPCTC

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 28E: In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove:...

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In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove: 2 is also acute PROOF Statements Reasons 1. 1 and 2 are complementary 1. ? 1 2. m1+m2=90 2. ? 3. 1 is acute 3. ? 3 4. Where m1=x, 0x90 4. ? 2 5. x+m2=90 5. ? 5 6. m2=90x 6. ? 4 7. x090x 7. ? 7 8. 90x90180x 8. ? 7, 8 9. 090x90 9. ? 6, 9 10. 0m/290 10. ? 10 11. 2 is acute 11. ?
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