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?
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
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
Related questions
Question

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.

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?
Expert Solution

Step 1
Given problem:-
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.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images

Recommended textbooks for you

Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,

Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning

Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,

Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning