Question

a right triangle has legs with side lengths 12 and 9
create a scale drawing of the triangle using a scale factor of \\(\frac{1}{3}\\).
start at point (0, 0).
with the polygon tool selected, plot the vertices in order ending back at the first vertex.

Explanation:

Step1: Calculate scaled leg lengths

To find the scaled lengths, multiply each leg length by the scale factor $\frac{1}{3}$. For the vertical leg (length 12): $12\times\frac{1}{3} = 4$. For the horizontal leg (length 9): $9\times\frac{1}{3}=3$.

Step2: Determine vertices

Start at $(0, 0)$. The right angle is here. The next vertex (end of horizontal leg) is $(3, 0)$ (since horizontal scaled length is 3). The next vertex (end of vertical leg from $(0,0)$) is $(0, 4)$? Wait, no—wait, the original triangle has vertical leg 12 (along y - axis) and horizontal leg 9 (along x - axis). So scaled vertical leg: $12\times\frac{1}{3}=4$, scaled horizontal leg: $9\times\frac{1}{3}=3$. So the three vertices are:

1. $(0, 0)$ (start)
2. $(3, 0)$ (end of horizontal leg, moving 3 units right from (0,0))
3. $(0, 4)$ (end of vertical leg, moving 4 units up from (0,0))

Then connect back to $(0, 0)$.

Answer:

The vertices of the scaled triangle are $(0, 0)$, $(3, 0)$, $(0, 4)$, and back to $(0, 0)$. To plot: start at $(0, 0)$, then plot $(3, 0)$, then $(0, 4)$, then back to $(0, 0)$ using the polygon tool.