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 next vertex (end of horizontal leg) is $(3, 0)$ (since horizontal scaled length is 3). The third vertex (end of vertical leg from $(3, 0)$? No, wait—right triangle: from $(0, 0)$, go right 3 (horizontal leg) to $(3, 0)$, then up 4 (vertical leg) to $(3, 4)$? Wait, no—original triangle has vertical leg 12 (along y - axis) and horizontal leg 9 (along x - axis). So original vertices: $(0, 0)$, $(9, 0)$, $(0, 12)$. After scaling, $(0, 0)$, $(9\times\frac{1}{3}, 0)=(3, 0)$, $(0, 12\times\frac{1}{3})=(0, 4)$. Then connect back to $(0, 0)$. So the vertices to plot are $(0, 0)$, $(3, 0)$, $(0, 4)$, and back to $(0, 0)$.

Answer:

The vertices of the scaled right triangle are plotted as follows: Start at $(0, 0)$, then plot $(3, 0)$, then plot $(0, 4)$, and finally plot $(0, 0)$ to close the triangle. The scaled leg lengths are 3 (horizontal) and 4 (vertical).