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
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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
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
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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