HI| GJ and ZGJK N LJGK. Complete the proof that ZHIK LIHK. H Statement Reason HI | GJ Given 2. ZGJK = ZJGK Given ZJGK E ZHIK Alternate Interior Angles Theorem 4 ZIHK E ZGJK Alternate Exterior Angles Theorem Alternate Interior Angles Theorem Converse of Alternate Exterior Angles Theorem Converse of Alternate Interior Angles Theorem Converse of Corresponding Angles Theorem ZJGK E ZIHK ZHIK E ZIHK
HI| GJ and ZGJK N LJGK. Complete the proof that ZHIK LIHK. H Statement Reason HI | GJ Given 2. ZGJK = ZJGK Given ZJGK E ZHIK Alternate Interior Angles Theorem 4 ZIHK E ZGJK Alternate Exterior Angles Theorem Alternate Interior Angles Theorem Converse of Alternate Exterior Angles Theorem Converse of Alternate Interior Angles Theorem Converse of Corresponding Angles Theorem ZJGK E ZIHK ZHIK E ZIHK
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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![HT | GJ and ZGJK LJGK. Complete the proof that ZHIK ZIHK.
Statement
Reason
HI | GJ
Given
2.
ZGJK = ZJGK
Given
ZJGK E ZHIK
Alternate Interior Angles Theorem
ZIHK E ZGJK
Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Converse of Alternate Exterior Angles Theorem
Converse of Alternate Interior Angles Theorem
Converse of Corresponding Angles Theorem
ZJGK E ZIHK
ZHIK E LIHK](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F584dc160-71a4-4dd1-b55f-5fcd415a325a%2F05192e5a-2ce4-4c8f-a8ab-c03a103633bf%2Fd8yh8h6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:HT | GJ and ZGJK LJGK. Complete the proof that ZHIK ZIHK.
Statement
Reason
HI | GJ
Given
2.
ZGJK = ZJGK
Given
ZJGK E ZHIK
Alternate Interior Angles Theorem
ZIHK E ZGJK
Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Converse of Alternate Exterior Angles Theorem
Converse of Alternate Interior Angles Theorem
Converse of Corresponding Angles Theorem
ZJGK E ZIHK
ZHIK E LIHK
![HI GJ and ZGJK ZJGK. Complete the proof that ZHIK LIHK.
G.
K
Statement
Reason
HI | GJ
Given
2
ZGJK E LJGK
Given
ZJGK ZHIK
Alternate Interior Angles Theorem
4
ZIHK E LGJK
Converse of Same-Side Exterior Angles Theorem
Converse of Same-Side Interior Angles Theorem
Corresponding Angles Theorenm
Same-Side Exterior Angles Theorem
Same-Side Interior Angles Theorem
ZJGK E ZIHK
6
ZHIK E ZIHK](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F584dc160-71a4-4dd1-b55f-5fcd415a325a%2F05192e5a-2ce4-4c8f-a8ab-c03a103633bf%2F4ypdo5e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:HI GJ and ZGJK ZJGK. Complete the proof that ZHIK LIHK.
G.
K
Statement
Reason
HI | GJ
Given
2
ZGJK E LJGK
Given
ZJGK ZHIK
Alternate Interior Angles Theorem
4
ZIHK E LGJK
Converse of Same-Side Exterior Angles Theorem
Converse of Same-Side Interior Angles Theorem
Corresponding Angles Theorenm
Same-Side Exterior Angles Theorem
Same-Side Interior Angles Theorem
ZJGK E ZIHK
6
ZHIK E ZIHK
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