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Mathematics 14 Online
OpenStudy (anonymous):

G

OpenStudy (anonymous):

Okay, so the first thing to recognize is that if those two lines are parallel, then the two triangles will be similar.

OpenStudy (anonymous):

Cool, so let me walk you through the logic of it.

OpenStudy (anonymous):

IF those lines are parallel, then the two triangles are similar. If two triangles are similar, then corresponding sides will be proportional. The 4 long side corresponds to the 10 long side, and the 6 long side corresponds to the 14 long side. Therefore, the sides should be proportional. The proportion we should be able to set up is \[\frac{4}{10} = \frac{6}{14}\] but that proportion is not true =( So we say then that the triangles are NOT similar, which means that the lines are NOT parallel. Tl;dnr: Yes. You are correct.

OpenStudy (anonymous):

My pleasure, Lala! =D

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