define geometric dilation in simple terms
Geometric dilation is a transformation in which a shape or object is scaled up or down uniformly, maintaining the same shape but changing its size. It involves enlarging or reducing the dimensions of the object by a certain factor called the scale factor. This transformation results in similar figures, meaning they have the same shape but differ in size.
Geometric dilation is a transformation that changes the size of a figure without changing its shape but involves stretching or shrinking it uniformly in all directions from a fixed center point. It occurs when every point of the figure is multiplied by a constant scale factor. The scale factor determines how much the figure is enlarged or reduced.
Geometric dilation refers to the process of resizing a shape while maintaining its proportions. In simple terms, it is like zooming in or out on an image. When a shape is dilated, all of its dimensions are scaled up or down by a common factor, resulting in a larger or smaller version of the original shape. To understand geometric dilation, let's look at an example and explain how to perform it.
Imagine a square with side length 4 units. To dilate this square by a factor of 2, you would multiply each side length by 2, resulting in a larger square with side length 8 units. Similarly, if the square were dilated by a factor of 0.5, each side length would be multiplied by 0.5, resulting in a smaller square with side length 2 units. This preserves the relative size and proportions of the original square. So, geometric dilation involves multiplication or division to resize a shape.