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 1 AC. Prove: Arc AB Arc CB

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ISBN:9780470458365
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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 1 AC.
Prove: Arc AB = Arc CB
Statements
Reasons
1. Circle E with radius EB and Chord AC.
1.
EB 1 AC.
2. Draw EA and EC
3. mzADE and mzCDE are both 90°
4. AADE and ACDE are both right
triangles
5. EA =
ЕС
6. ED = ED
6.
7. LADE = CDE
7.
8. AED
= CED
8.
9. Arc AB Arc CB
9.
Through any 2 points there exists exactly one line
000
23.
4.
567
Transcribed Image Text: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 1 AC. Prove: Arc AB = Arc CB Statements Reasons 1. Circle E with radius EB and Chord AC. 1. EB 1 AC. 2. Draw EA and EC 3. mzADE and mzCDE are both 90° 4. AADE and ACDE are both right triangles 5. EA = ЕС 6. ED = ED 6. 7. LADE = CDE 7. 8. AED = CED 8. 9. Arc AB Arc CB 9. Through any 2 points there exists exactly one line 000 23. 4. 567
3. MLADE and m.CDE are both 90°
4. AADE and ACDE are both right
3.
triangles
5. EA = EC
5.
6. ED ED
6.
7. ADE CDE
7.
8. AED 2CED
8.
9. Arc AB Arc CB
9.
O Through any 2 points there exists exactly one line
O SAS
O HL
О СРСТС
4.
Transcribed Image Text:3. MLADE and m.CDE are both 90° 4. AADE and ACDE are both right 3. triangles 5. EA = EC 5. 6. ED ED 6. 7. ADE CDE 7. 8. AED 2CED 8. 9. Arc AB Arc CB 9. O Through any 2 points there exists exactly one line O SAS O HL О СРСТС 4.
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