Question

which of the following triangles would lie on the line graphed below? (with three triangles and a graph)

Explanation:

Step1: Find line equation

The line passes through (0,0) and (10,5). Slope $m=\frac{5-0}{10-0}=0.5$. Equation: $y=0.5x$.

Step2: Check triangle ratios

Left triangle: legs 4,6 → ratio $\frac{6}{4}=1.5≠0.5$.
Middle triangle: legs 2,1 → ratio $\frac{1}{2}=0.5$.
Right triangle: legs 4,2 → ratio $\frac{2}{4}=0.5$? Wait, no—wait the line is $y=0.5x$, so for a triangle with horizontal leg $x$ and vertical leg $y$, $y=0.5x$. Middle triangle: vertical=1, horizontal=2 → $1=0.5×2$, which fits.

Answer:

The Middle Triangle (legs 2 and 1)