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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, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 37E: Given: AB is an external tangent to O and Q at points A and B; radii lengths for O and Q are 4 and...
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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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