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Activity 1. below each number) into its proper column and row. Complete each proof by placing each missing statement/reason (written 1. Given: Eð and NY bisect each E other at J. Prove : ΔΕN = ΔΟΥ 2. Given: P is the midpoint of HS ZH =S Prove: AHOP = ASEP N Proof: Proof: Statements 1. ZH = S 2. P is the midpoint of HS Statements Reasons Reasons 1. (a) 1. Given 1. (al 2. Given 2. EJ = 0J 2._(b) 3. Definition of Segment Bisector (d) 3. (c) 3. Definition of Midpoint 4. 3. (b) 4. LEJN and 2OJY are vertical angles 5. ZEJN = 2OJY 4. 4. ZHPO and ZSPE are vertical angles (d) (c) 5. (e) 5. Vertical Angle Theorem 5. 6. (f) 6. (g) 6. AHOP = ASEP (e) Statement/Reason Statement/Reason NJ = YJ Vertical Angle Theorem PH = PS Definition of Vertical Angles ASA Postulate ΔΕΝ ΔΟΙ EO and NY bisect each other at J ZHPO LSPE SAS Postulate Definition of Vertical Angles Definition of Segment Bisector Given

Activity 1. below each number) into its proper column and row. Complete each proof by placing each missing statement/reason (written 1. Given: Eð and NY bisect each E other at J. Prove : ΔΕN = ΔΟΥ 2. Given: P is the midpoint of HS ZH =S Prove: AHOP = ASEP N Proof: Proof: Statements 1. ZH = S 2. P is the midpoint of HS Statements Reasons Reasons 1. (a) 1. Given 1. (al 2. Given 2. EJ = 0J 2._(b) 3. Definition of Segment Bisector (d) 3. (c) 3. Definition of Midpoint 4. 3. (b) 4. LEJN and 2OJY are vertical angles 5. ZEJN = 2OJY 4. 4. ZHPO and ZSPE are vertical angles (d) (c) 5. (e) 5. Vertical Angle Theorem 5. 6. (f) 6. (g) 6. AHOP = ASEP (e) Statement/Reason Statement/Reason NJ = YJ Vertical Angle Theorem PH = PS Definition of Vertical Angles ASA Postulate ΔΕΝ ΔΟΙ EO and NY bisect each other at J ZHPO LSPE SAS Postulate Definition of Vertical Angles Definition of Segment Bisector Given

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 13CT: Using as few variables as possible, state the coordinates of each point if DEF is isosceles with ...
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Activity 1. below each number) into its proper column and row. Complete each proof by placing each missing statement/reason (written 1. Given: Eð and NY bisect each E other at J. Prove : ΔΕN = ΔΟΥ 2. Given: P is the midpoint of HS ZH =S Prove: AHOP = ASEP N Proof: Proof: Statements 1. ZH = S 2. P is the midpoint of HS Statements Reasons Reasons 1. (a) 1. Given 1. (al 2. Given 2. EJ = 0J 2._(b) 3. Definition of Segment Bisector (d) 3. (c) 3. Definition of Midpoint 4. 3. (b) 4. LEJN and 2OJY are vertical angles 5. ZEJN = 2OJY 4. 4. ZHPO and ZSPE are vertical angles (d) (c) 5. (e) 5. Vertical Angle Theorem 5. 6. (f) 6. (g) 6. AHOP = ASEP (e) Statement/Reason Statement/Reason NJ = YJ Vertical Angle Theorem PH = PS Definition of Vertical Angles ASA Postulate ΔΕΝ ΔΟΙ EO and NY bisect each other at J ZHPO LSPE SAS Postulate Definition of Vertical Angles Definition of Segment Bisector Given
Transcribed Image Text:Activity 1. below each number) into its proper column and row. Complete each proof by placing each missing statement/reason (written 1. Given: Eð and NY bisect each E other at J. Prove : ΔΕN = ΔΟΥ 2. Given: P is the midpoint of HS ZH =S Prove: AHOP = ASEP N Proof: Proof: Statements 1. ZH = S 2. P is the midpoint of HS Statements Reasons Reasons 1. (a) 1. Given 1. (al 2. Given 2. EJ = 0J 2._(b) 3. Definition of Segment Bisector (d) 3. (c) 3. Definition of Midpoint 4. 3. (b) 4. LEJN and 2OJY are vertical angles 5. ZEJN = 2OJY 4. 4. ZHPO and ZSPE are vertical angles (d) (c) 5. (e) 5. Vertical Angle Theorem 5. 6. (f) 6. (g) 6. AHOP = ASEP (e) Statement/Reason Statement/Reason NJ = YJ Vertical Angle Theorem PH = PS Definition of Vertical Angles ASA Postulate ΔΕΝ ΔΟΙ EO and NY bisect each other at J ZHPO LSPE SAS Postulate Definition of Vertical Angles Definition of Segment Bisector Given
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