Answer:
Step-by-step explanation: After a dilation with a scale factor of 3/2, each point on the figure ABCDE will move to a new location. One of the sides has already been plotted, which means we have a reference point to work with.
To determine the new positions of the other points, follow these steps:
1. Start with the given point on the side that has been plotted. Let's call this point A'.
2. Measure the distance from the plotted point to the corresponding point on the original figure. This distance represents the scale factor.
3. Multiply the measured distance by the scale factor (3/2) to find the new distance for each corresponding point.
4. Plot the new points at the appropriate distances and directions from the plotted point A'. Connect these points to form the new figure A'B'C'D'E'.
For example, let's say point A' has been plotted, and the scale factor is 3/2. If the distance from A to the corresponding point A' is 4 units, we can find the new distance for the other points using the scale factor:
Point B: Multiply the distance from B to A (let's say 5 units) by the scale factor (3/2). The new distance from B' to A' would be (5 units) * (3/2) = 7.5 units.
Repeat this process for points C, D, and E, using their respective distances from A and multiplying them by the scale factor.
Once you have the new distances for all the points, plot them in their respective locations around A'. Connect the points to create the new figure A'B'C'D'E'.
Keep in mind that dilation preserves the shape of the figure but changes its size. The new figure A'B'C'D'E' will be an enlarged or reduced version of the original figure ABCDE, depending on the scale factor.