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Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? (4 points)


Yes, because they are both right triangles
Yes, because they are similar triangles
No, because they are not similar triangles
No, because one is larger than the other

Respuesta :

RickyChen
Yes, because they are similar(or you can call congruent), proved by SAS or simply HL.
For that to happen, they must be similar. Maybe you've heard of Thales theorem?

So, let's see how the ratio of vertical to horizontal is:

3/7 (in the first triangle)
9/21 (in the second triangle)

Is 3/7=9/21? Yup. So that it is the second one.

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