4 5 1 Mr. Williams had this proof on the board. He asked the class to come up with the missing statements to prove this to be true. Which would not be one of the missing statements? Given: Circle E with radius EB and Chord AC. EB 1 AC. Prove: AD = CD A Reasons Statements 1. Circle E with radius EB and Chord AC. EB 1 AC.1. Given 2. Draw EA and EC 3. 4. AADE and ACDE are both right triangles 2. Through any 2 points there exists exactly one line 3. Definition of perpendicular lines 4. Definition of 5. Definition of a radius 6. Reflexive property 7. HL 8. СРСТС riang 5. 6. ÉD - ED 7. 8. AD CD O EA - EC O ADAE - ACDE

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.2: Indirect Proof
Problem 12E: Which of the following statements would you prove by the indirect method? a If ACAB in ABC, then...
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3 4
Mr. Williams had this proof on the board. He asked the class to come up with the missing statements to prove this to be true. Which would not be one of the
missing statements?
Given: Circle E with radius EB and Chord AC. EB 1 AC.
Prove: AD CD
D
Statements
Reasons
1. Circle E with radius EB and Chord AC. EB 1 AC.1. Given
2. Through any 2 points there exists exactly one line
3. Definition of perpendicular lines
4. Definition of a right triangle
2. Draw EA and EC
3.
4. AADE and ACDE are both right triangles
5.
5. Definition of a radius
6. ED ED
6. Reflexive property
7.
7. HL
8. AD CD
8. СРСТС
O EA = EC
O ADAE = ACDE
Transcribed Image Text:Sav 1 2 3 4 Mr. Williams had this proof on the board. He asked the class to come up with the missing statements to prove this to be true. Which would not be one of the missing statements? Given: Circle E with radius EB and Chord AC. EB 1 AC. Prove: AD CD D Statements Reasons 1. Circle E with radius EB and Chord AC. EB 1 AC.1. Given 2. Through any 2 points there exists exactly one line 3. Definition of perpendicular lines 4. Definition of a right triangle 2. Draw EA and EC 3. 4. AADE and ACDE are both right triangles 5. 5. Definition of a radius 6. ED ED 6. Reflexive property 7. 7. HL 8. AD CD 8. СРСТС O EA = EC O ADAE = ACDE
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