O 2. In the image of the two right triangles shown, ZD ZF and DG FE. Match each statement to its correct reason in the two-column proof for the right triangles. 25 m 18 m G F Statements Reasons Given Definition of right triangles DG - FE Given Reflexive property HL theorem 1. EG GE a. HL theorem 2. AEDG E AGFE b. Definition of right triangles c. Reflexive property • 3. and ZF are right angles d. Given 4. AEDG and AGFE are right triangles
O 2. In the image of the two right triangles shown, ZD ZF and DG FE. Match each statement to its correct reason in the two-column proof for the right triangles. 25 m 18 m G F Statements Reasons Given Definition of right triangles DG - FE Given Reflexive property HL theorem 1. EG GE a. HL theorem 2. AEDG E AGFE b. Definition of right triangles c. Reflexive property • 3. and ZF are right angles d. Given 4. AEDG and AGFE are right triangles
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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n the image of the two right

Transcribed Image Text:O 2. In the image of the two right triangles shown, ZD ZF and DG FE. Match each statement to its correct reason in the two-column proof for the right triangles.
25 m
18 m
G
F
Statements
Reasons
Given
Definition of right triangles
DG - FE
Given
Reflexive property
HL theorem
1. EG GE
a. HL theorem
2. AEDG E AGFE
b. Definition of right triangles
c. Reflexive property
• 3.
and ZF are right angles
d. Given
4. AEDG and AGFE are right triangles
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