Given: In AABC, 41=22; AE || BD; F is a midpoint of CE; CF is an altitude of AACD FG is a median of ACFD FD > FC Prove: (1) mzEAC > m m23 В' B A 1 C F E 3 4 G D

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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pls. answer number 1 to 4 (all question) using complete two column 

Show your COMPLETE TWO-COLUMN proof. Number the statements and reasons accordingly.
Given: In AABC, 41=22; AE || BD;
F is a midpoint of CE;
CF is an altitude of AACD
FG is a median of ACFD
FD > FC
B
A
1
C
F
E
3\4
G
D
Prove:
(1) mzEAC >m<D
(2) AE DC
(3) m24
m23
(4) BC + GD > ½ AD [Hint: Use Triangle Inequality Theorem for AABD and substitution]
Transcribed Image Text:Show your COMPLETE TWO-COLUMN proof. Number the statements and reasons accordingly. Given: In AABC, 41=22; AE || BD; F is a midpoint of CE; CF is an altitude of AACD FG is a median of ACFD FD > FC B A 1 C F E 3\4 G D Prove: (1) mzEAC >m<D (2) AE DC (3) m24 m23 (4) BC + GD > ½ AD [Hint: Use Triangle Inequality Theorem for AABD and substitution]
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