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

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.3: Proving Triangles Similar

Problem 41E: Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle...

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