2. Given A' and G, construct AABC with the property that AA'GO is isosceles with ZA'GO = /4 and |GA'| = |GO|. That is: Begin with two independent points. Label them A' and G. Construct points A, B and C so that A' is the midpoint of BC, AABC has centroid G, circumcenter O, and AA'OG is an isosceles triangle with ZA'GO |GA'| = |GO|. Highlight the edges of AABC by coloring them a unique color. Be sure to label your diagram correctly. = π/4 and 3. The value cos(4π/15) is a constructible length; construct it. That is: Begin with two independent points and label them O and P. Define |OP| = 1 unit. Construct a segment of length cos(4π/15) units. Highlight this segment by coloring it a unique color. (You may wish to check your answer, as described in #1.)
2. Given A' and G, construct AABC with the property that AA'GO is isosceles with ZA'GO = /4 and |GA'| = |GO|. That is: Begin with two independent points. Label them A' and G. Construct points A, B and C so that A' is the midpoint of BC, AABC has centroid G, circumcenter O, and AA'OG is an isosceles triangle with ZA'GO |GA'| = |GO|. Highlight the edges of AABC by coloring them a unique color. Be sure to label your diagram correctly. = π/4 and 3. The value cos(4π/15) is a constructible length; construct it. That is: Begin with two independent points and label them O and P. Define |OP| = 1 unit. Construct a segment of length cos(4π/15) units. Highlight this segment by coloring it a unique color. (You may wish to check your answer, as described in #1.)
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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Transcribed Image Text:2. Given A' and G, construct AABC with the property that AA'GO is isosceles with
ZA'GO = /4 and |GA'| = |GO|. That is: Begin with two independent points. Label them
A' and G. Construct points A, B and C so that A' is the midpoint of BC, AABC has
centroid G, circumcenter O, and AA'OG is an isosceles triangle with ZA'GO
|GA'| = |GO|. Highlight the edges of AABC by coloring them a unique color. Be sure to
label your diagram correctly.
=
π/4 and
3. The value cos(4π/15) is a constructible length; construct it. That is: Begin with two
independent points and label them O and P. Define |OP| = 1 unit. Construct a segment
of length cos(4π/15) units. Highlight this segment by coloring it a unique color. (You may
wish to check your answer, as described in #1.)
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