The given diagram shows circle D inscribed in AABC. Points I, J, and H are located on the OD and DI I AB, DJ IBC, and DH1AC Points E, F, and G are located on sides AB. BC, and AC, respectively. в J E HG A Which statement must be true?

Elementary Geometry For College Students, 7e
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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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Which statement must be true?
O BE=EA, AG=CG, CF=BF
O 2ED=DC, 2DF=AD, 2DG=BD
O MLABG=M2CBG, MZBCE=MZACE, M2CAF=MZBAF
O Segments DH, DI, and DJ are part of the altitudes of the triangle.
O The areas are the same for ABED, ABFD, ACFD, ACGD, AAGD, and AAED.
Transcribed Image Text:Which statement must be true? O BE=EA, AG=CG, CF=BF O 2ED=DC, 2DF=AD, 2DG=BD O MLABG=M2CBG, MZBCE=MZACE, M2CAF=MZBAF O Segments DH, DI, and DJ are part of the altitudes of the triangle. O The areas are the same for ABED, ABFD, ACFD, ACGD, AAGD, and AAED.
The given diagram shows circle D inscribed in AABC. Points I, J, and H are located on the OD and
DI I AB, DJIBC,and DHl AC Points E, F, and G are located on sides AB, BC, and
AC, respectively.
в л
E
HG
A
Which statement must be true?
Transcribed Image Text:The given diagram shows circle D inscribed in AABC. Points I, J, and H are located on the OD and DI I AB, DJIBC,and DHl AC Points E, F, and G are located on sides AB, BC, and AC, respectively. в л E HG A Which statement must be true?
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The given diagram shows circle D inscribed in ΔABC. Points I, J, and H are such that  DI⊥AB, DJ⊥BC, and DH⊥ AC. Points E, F, and G are located on sides AB, BC, and AC, respectively.

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