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, 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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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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