Complete construction with straightedge and compass. include the individual steps for the construction along with an accompanying explanation for the construction–why does this construction satisfy the “to Construct”? Construction 2: To construct an angle congruent to a given angleGiven: ZATo construct: An angle congruent to Z AConstruction:With A as center and a convenient radius, construct an arc (1) intersectingthe sides of A and B and C. With A', a point on a working line w, ascenter and the same radius, construct arc (2) intersecting w at B' as centerand a radius equal to BC, construct arc (3) intersecting arc (2) at C'. DrawA'C'. Then

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Complete construction with straightedge and compass. include the individual steps for the construction along with an accompanying explanation for the construction–why does this construction satisfy the “to Construct”?

Complete construction with straightedge and compass. include the individual steps for the construction along with an accompanying explanation for the construction–why does this construction satisfy the “to Construct”?

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...

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Question

Construction 2: To construct an angle congruent to a given angle
Given: ZA
To construct: An angle congruent to Z A
Construction:
With A as center and a convenient radius, construct an arc (1) intersecting
the sides of A and B and C. With A', a point on a working line w, as
center and the same radius, construct arc (2) intersecting w at B' as center
and a radius equal to BC, construct arc (3) intersecting arc (2) at C'. Draw
A'C'. Then <A' is the required angle. (AABC= AA'B'C' by s.s.s.s.S.S.;
hence ZA ZA'.)
Explanation
ZA ZA since AABCAA'B'C' by s.s.s. and c.p.t.c.

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