Given: AB E CB and DB bisects ZABC. Prove: ZA 2ZC. Step Statement Reason AB CB Given DB bisects LABC ZABD E LCBD An angle bisector divides an angle into two congruent angles 2 3. Type of Statement AABD E ACBD SAS 4 Corresponding Parts of Congruent Triangles are Congruent (СРСТC) ZA LC В A

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
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find the missing triangle proof
Given: AB E CB and DB bisects ZABC.
Prove: ZA 2 ZC.
Step
Statement
Reason
AB CB
Given
1
DB bisects LABC
ZABD LCBD
An angle bisector divides an angle into two congruent angles
Type of Statement
AABD E ACBD
SAS
4
Corresponding Parts of Congruent Triangles are Congruent
(СРСТC)
ZA ZC
B
A
Transcribed Image Text:Given: AB E CB and DB bisects ZABC. Prove: ZA 2 ZC. Step Statement Reason AB CB Given 1 DB bisects LABC ZABD LCBD An angle bisector divides an angle into two congruent angles Type of Statement AABD E ACBD SAS 4 Corresponding Parts of Congruent Triangles are Congruent (СРСТC) ZA ZC B A
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