Question

the figure below is dilated by a factor of 3 centered at the origin. plot the resulting image. click twice to plot a segment. click a segment to delete it.

Explanation:

Step1: Recall dilation rule

If a point $(x,y)$ is dilated by a factor $k$ centered at the origin, the new - point $(x',y')$ is given by $(x',y')=(kx,ky)$. Here $k = 3$.

Step2: Identify original points

Let's assume the original points of the figure are, for example, if we have a point $A(x_1,y_1)$ on the original figure.

Step3: Calculate new points

For a point $A(x_1,y_1)$, the dilated point $A'(x_1',y_1')=(3x_1,3y_1)$. Repeat this process for all the vertices of the original figure.

Step4: Plot new figure

Connect the new - calculated points to form the dilated figure.

Since we don't have the exact coordinates of the original figure's vertices, we can't give the exact new - plotted points. But the general procedure is as above.

Answer:

Follow the steps above to plot the dilated figure. Plot the new points obtained by multiplying the coordinates of the original - figure's vertices by 3 and then connect them to form the dilated image.