Answer:
No, these triangles cannot lie on the same line.
Step-by-step explanation:
For two triangles to lie on the same line they must have the same slope.
The slope of the bigger triangle is
[tex]m=\frac{rise}{run} =-\frac{18}{10} =-1.8[/tex]
and the slope of the smaller triangle is
[tex]m=\frac{rise}{run} =-\frac{2}{3} =-0.67[/tex]
slopes are negative because the triangles are leaning to the left.
We see that the slopes of the two triangles are not the same; therefore, they cannot lie on the same line.
