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2.2.8. Whereas Euclid builds an equilateral triangle in his first proposition, it is a lengthier process in the SMSG system. This problem gives one way to show that there are equilateral triangles in the SMSG system. (a) Given two points A and B, prove that there is a ray AC so that m/BAC = 60°. (b) Prove that there is a point D on AC so that AD and AB are congruent. So AABD is isosceles. (c) Prove that ZABD = ZADB.

2.2.8. Whereas Euclid builds an equilateral triangle in his first proposition, it is a lengthier process in the SMSG system. This problem gives one way to show that there are equilateral triangles in the SMSG system. (a) Given two points A and B, prove that there is a ray AC so that m/BAC = 60°. (b) Prove that there is a point D on AC so that AD and AB are congruent. So AABD is isosceles. (c) Prove that ZABD = ZADB.

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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2.2.8. Whereas Euclid builds an equilateral triangle in his first proposition, it is a lengthier process in the SMSG system. This problem gives one way to show that there are equilateral triangles in the SMSG system. (a) Given two points A and B, prove that there is a ray AC so that m/BAC = 60°. (b) Prove that there is a point D on AC so that AD and AB are congruent. So A ABD is isosceles. (c) Prove that ZABD = ZADB.
Transcribed Image Text:2.2.8. Whereas Euclid builds an equilateral triangle in his first proposition, it is a lengthier process in the SMSG system. This problem gives one way to show that there are equilateral triangles in the SMSG system. (a) Given two points A and B, prove that there is a ray AC so that m/BAC = 60°. (b) Prove that there is a point D on AC so that AD and AB are congruent. So A ABD is isosceles. (c) Prove that ZABD = ZADB.
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