Query about Question 15 from "(I'm Overwhelmed) Geometry Progress Quiz #5" [7782]

[user12783]

https://www.gregmat.com/quizzes/quiz/im-overwhelmed-geometry-progress-quiz-5 (Question 15)

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In the first method you followed in the video solution, you plotted the lines directly and then they intersected therefore not parallel lines hence corresponding angles are not equal therefore no similar triangles - why was that not enough for you to definitely say that the answer is false?

and also how did you decide that it is definitely going to create a right angle triangle for the first equation?

[Kweku]

@user12783

In the first method you followed in the video solution, you plotted the lines directly and then they intersected therefore not parallel lines hence corresponding angles are not equal therefore no similar triangles - why was that not enough for you to definitely say that the answer is false?

Non-parallelism doesn’t mean the triangles cannot be similar.

The lines in above graph are not parallel but they create two similar triangles.

@user12783

and also how did you decide that it is definitely going to create a right angle triangle for the first equation?

The origin is the 90deg angle of the triangles, that is why.