Respuesta :

Answer:

Yes

Step-by-step explanation:

Because they are right triagnles

Answer: No, the triangles do not lie on the same graphed line

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Explanation:

Your teacher is asking if the hypotenuse segments are parallel, that way one line can slide over to the other to be directly on top of it.

Recall that parallel lines have the same slope, and slope is rise over run.

rise = change in vertical distance = change in y

run = change in horizontal distance = change in x

Let's find the slope of the hypotenuse of the triangle on the left

slope = rise/run = 15/2 = 7.5

Let's do the same for the other triangle as well

slope = rise/run = 51/6 = 8.5

The slopes are different, so we don't have a perfect match. The hypotenuse segments do not lie on the same line.