Marcella wants to explain why the construction produces an angle bisector. She makes a new step with line segments AC and BC added to the construction, as sho Jsing the figure, prove that ray ZC bisects angle AZB. Be sure to justify each statement of your proof.

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.3: Informal Geometry And Measurement
Problem 29E: On a piece of paper, use your compass to construct a triangle that has two sides of the same length....
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Part B
Marcella wants to explain why the construction produces an angle bisector. She makes a new step with line segments AC and BC added to the construction, as sho
Jsing the figure, prove that ray ZC bisects angle AZ B. Be sure to justify each statement of your proof.
BZ = AZ
[ Choose ]
BC = AC
[ Choose ]
ZC = ZC
[ Choose ]
Triangle BZC congruent to triangle AZC
[ Choose ]
<BZC congruent to <AZC
[ Choose ]
Ray ZC is the angle bisector of <BZA
[ Choose ]
>
>
Transcribed Image Text:Part B Marcella wants to explain why the construction produces an angle bisector. She makes a new step with line segments AC and BC added to the construction, as sho Jsing the figure, prove that ray ZC bisects angle AZ B. Be sure to justify each statement of your proof. BZ = AZ [ Choose ] BC = AC [ Choose ] ZC = ZC [ Choose ] Triangle BZC congruent to triangle AZC [ Choose ] <BZC congruent to <AZC [ Choose ] Ray ZC is the angle bisector of <BZA [ Choose ] > >
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