Question

Help, please:

One triangle on a graph has a vertical side of 3 and a horizontal side of 4. Another triangle on a graph has a vertical side of 9 and a horizontal side of 12.

Could the hypotenuses of these two triangles lie along the same line?


A. No, because they need to be the same size
B. No, because they are not similar triangles
C. Yes, because they are similar triangles
D. Yes, because all triangles can fit along this line

Answer 1

the answer is C, because they are the same triangle but different sizes

Answer 2

Yes, so the answer would be C. You can use rise/run for this:
9/12=3/4
By simplifying 9/12, you get 3/4. Since 3/4=3/4, the hypotenuses can lie on the same line.