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Geometry Transformations

Dilations: Graph the image

 Copy polygon ABCD shown on graph paper. Then draw the image of the figure after a dilation with center A by a scale factor of 2.

 Step 1. Draw a ray AB, extending it to the edges of the grid. Step 2. Use a ruler to locate point B' on ray AB such that AB'=2(AB). Step 3. Repeat Steps 1 and 2 for points C' and D'. Then draw polygon A'B'C'D' where A=A'

 Copy polygon PQRS shown on graph paper. Then draw the image of the figure after a dilation with center S by a scale factor of $\frac{1}{2}$.

 Step 1. Draw a ray SP, extending it to the edges of the grid. Step 2. Use a ruler to locate point P' on ray SP such that SP'=$\frac{1}{2}SP$. Step 3. Repeat Steps 1 and 2 for points R' and Q'. Then draw polygon P'Q'R'S' where S=S'