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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Question
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Transcribed Image Text:The rectangular gate has diagonal braces. Find each length.
5. Find HJ.
6. Find HK.
30.8 in.
G 48 in. K
7.
Find the measure of each numbered angle in the rectangle.
61
8.
Complete the two-column proof that the diagonals
of a rhombus are perpendicular.
Given: JKLM is a rhombus.
Prove: JL I MK
Statements
Reasons
1. JM E JK
1. Definition of rhombus
2. MN E KN
2.
3. JNE JN
3. Reflexive Property of Congruence
4.
4. SSS Triangle Congruence Theorem
5. ZJNM E LJNK
5.
6. ZJNM and INK are supplementary.
6.
7.
7. Definition of supplementary
8. Definition of congruence
8. ZINM = ZINK
9. Substitution Property of Equality
9.
+ ZINK = 180°
10. Addition
10. 2MZJNK = 180°
11. Division Property of Equality
11. MZJNK = 90°
12. Definition of perpendicular lines
12.
Lesson 3
453
Module 9
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