Question

plot the image of figure abcdefghijkl after a dilation with scale factor $\frac{1}{2}$. one of the sides has been plotted for you. click twice to plot a segment. click a segment to delete it.

Explanation:

Step1: Recall dilation rule

For a dilation with scale - factor $k = \frac{1}{2}$, if the original point has coordinates $(x,y)$, the new point after dilation has coordinates $(\frac{1}{2}x,\frac{1}{2}y)$.

Step2: Dilate each vertex

For example, if vertex $A$ has coordinates $(x_A,y_A)$, its image $A'$ has coordinates $(\frac{1}{2}x_A,\frac{1}{2}y_A)$. Do this for all vertices $B, C, D, E, F, G, H, I, J, K, L$.

Step3: Connect the dilated vertices

Connect the new vertices $A',B',C',D',E',F',G',H',I',J',K',L'$ in the same order as the original figure to get the dilated figure.

Answer:

Plot the new vertices obtained by multiplying the $x$ - and $y$ - coordinates of each original vertex by $\frac{1}{2}$ and then connect them to form the dilated figure.