An image of the resulting geometric shape based on a scale factor of 2 using O as the center of enlargement is shown below.
What is dilation?
In Geometry, dilation is a type of transformation which typically changes the size of a geometric shape, but not its shape. This ultimately implies that, the size of the geometric shape would be increased (enlarged) or decreased (reduced) based on the scale factor applied.
In Mathematics, the following rules are applied to interpret and understand the dilation of a geometric shape:
- A geometric shape is enlarged when the scale factor is greater than 1.
- A geometric shape remains the same when the scale factor is equal to 1.
- A geometric shape is reduced when the scale factor is less than 1.
In this context, we can logically deduce that the size of this geometric shape would be doubled because the scale factor is greater than 1.