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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”?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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”?

 

 

 

 

 

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.
Transcribed Image Text: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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