Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisector with a compass and straightedge Describe the similarities and differences between their construction steps.
Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisector with a compass and straightedge Describe the similarities and differences between their construction steps.
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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Geometry V19, Robin Faith Gilliland ( 4872/ S) -
(01.02 MC)
Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisector with a compass and straightedge.
Describe the similarities and differences between their construction steps.
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Expert Solution
Step 1
Steps of construction to construct a segment bisector
Steps:
1-First, at one end of the line segment place the compass
2- Now, adjust the compass slightly longer than half of the length of the line segment.
3- Above the line segment and below the line segment, draw the arcs from one end
4- With the same arc length, draw the arc from the other end above and below the line segment
5-Now, draw the line segment by placing the straightedge where arcs cross above and below the line segment.
The line drawn with the help of straightedge is the bisector of the line segment
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