Question

wo 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)

Question 5 options:

1)

Yes, because they are both right triangles

2)

Yes, because they are similar triangles

3)

No, because they are not similar triangles

4)

No, because one is larger than the other

Answer 1

thoughts?

if one right triangle has vertical side 3 and horizontal side 7

and the other right triangle vertical side 9 and horizontal side 21

notice how you can take the first triangle, multiply both sides by 3, and get the same sides lengths as the second triangle

what does that tell you about the two triangles?