Question

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8 POINTS

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?

Answer 1

Answer: Yes they could.

Explanation:

The two pairs of sides given are proportional: 3/7 : 9/21

The two triangles have the side:side ratio, meaning they are similar

Because they are similar, their hypotenuses could lie along the same line, not guaranteed, but possible.