Dilation Scale Factor Calculator

Calculate the scale factor of dilation by entering the dimensions of the original and transformed images.

Original X (X₁):

Original Y (Y₁):

Transformed X (X₂):

Transformed Y (Y₂):

What is Dilation Scale Factor?

Dilation in geometry refers to resizing an image or shape without altering its proportions. The dilation scale factor is the ratio of the dimensions of the transformed image to those of the original image. It determines whether an object has been enlarged, reduced, or remains unchanged.

Formula

Scale Factor (SF) = X₂/X₁ = Y₂/Y₁

Where:

X₁, Y₁	Original dimensions
X₂, Y₂	Transformed dimensions
SF	Scale factor

How to Use the Dilation Scale Factor Calculator

Step 1

Enter the original dimensions (X₁ and Y₁) in their respective fields. These represent the initial size of your shape.

Step 2

Input the transformed dimensions (X₂ and Y₂). These are the measurements after the shape has been dilated.

Step 3

Click the calculate button to determine the scale factor.

Step 4

Review the calculated result and the accompanying explanation below the calculator.

Step 5

Interpret the results:

SF > 1: The shape has been enlarged
SF < 1: The shape has been reduced
SF = 1: The shape remains unchanged