Use a ruler, a compass, and a protractor to construct triangles with the following characteristics. In each case, discuss whether or not all triangles with those characteristics are congruent.    Triangle ABC has a side AB of length 6 cm, the angle at A is 50° and the angle at B is 120°.   Triangle DEF has a side DE of length 7 cm, the angle at D is 15°, and side EF is 6 cm.   Triangle GHI has side GH of length 5 cm, the angle at H is 50°, and side HI is 8 cm.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.3: Isosceles Triangles
Problem 23E: A surveyor knows that a lot has the shape of an isosceles triangle. If the vertex angle measures 70...
Question

Use a ruler, a compass, and a protractor to construct triangles with the following characteristics. In each case, discuss whether or not all triangles with those characteristics are congruent. 

 

  1. Triangle ABC has a side AB of length 6 cm, the angle at A is 50° and the angle at B is 120°.

 

  1. Triangle DEF has a side DE of length 7 cm, the angle at D is 15°, and side EF is 6 cm.

 

  1. Triangle GHI has side GH of length 5 cm, the angle at H is 50°, and side HI is 8 cm.
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