Dilations on a coordinate plane involve changing the size of figures while maintaining the same shape. A dilation is determined by both a center point and a scale factor. The center point serves as the fixed point of the dilation, and the scale factor determines the change in size. Let's explore the rules and procedures involved in performing dilations on a coordinate plane.

To perform a dilation, we need to multiply the coordinates of each point by the scale factor, keeping the center of dilation as the origin (0,0). For example, if we have a figure with a scale factor of 2 and a center of dilation at (0,0), the point (2,3) will be dilated to (4,6). Similarly, the point (-1,4) will be dilated to (-2,8). This process applies to all the points in the figure, resulting in a scaled-up or scaled-down version of the original figure.

It's important to note that when the scale factor is positive, the figure is enlarged, and when it is negative, the figure is flipped or reflected over the center of dilation.

In summary, dilations on a coordinate plane involve multiplying the coordinates of each point by the scale factor while keeping the center of dilation fixed at the origin (0,0). This process results in a changed size of the figure while preserving its shape.

Remember, practice makes perfect! Keep experimenting with different scale factors and center points to strengthen your understanding of dilations on a coordinate plane. You've got this!