Given: AABC is an isosceles triangle with vertex angle, ZB. ZA ZE ZBCALDCE BC DC Prove: C is the midpoint of AE

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 44E: For isosceles PNQ, the vertices are P-2a,0, N2a,0, and Q0,2b. In terms of a, and b, find the...
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Question 6
Question 6
D.
Given:
AABC is an isosceles triangle with vertex angle, ZB.
37 V7
ZBCA ZDCE
BC DC
Prove: C is the midpoint of AE
AARCan osceles iriangle with venex angle, ZB.
Given
a.
RCAZDCE
b.
Definition of midpoint
BA BC DC
C.
Converse of isosceles triangle theorem
. ZA= ZBCA
d.
Transitive property of congruence
ZA=ZE = ZBCA=ZDCE
e.
СРСТС
Transcribed Image Text:Question 6 D. Given: AABC is an isosceles triangle with vertex angle, ZB. 37 V7 ZBCA ZDCE BC DC Prove: C is the midpoint of AE AARCan osceles iriangle with venex angle, ZB. Given a. RCAZDCE b. Definition of midpoint BA BC DC C. Converse of isosceles triangle theorem . ZA= ZBCA d. Transitive property of congruence ZA=ZE = ZBCA=ZDCE e. СРСТС
DC DE
f.
Isosceles triangle theorem
BA BC DC DE
g.
Transitive property of congruence
AABC= ACDE
h.
Transitive property of congruence
AAS
AC EC
Cis the midpoint of AE
Transcribed Image Text:DC DE f. Isosceles triangle theorem BA BC DC DE g. Transitive property of congruence AABC= ACDE h. Transitive property of congruence AAS AC EC Cis the midpoint of AE
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