Dilation Calculator
Calculate the dilated coordinates of a point using a scale factor and any center of dilation. See the coordinate rule, distance change, and step-by-step working instantly.
Enter dilation values
Result
Dilation formula
y′ = cᵧ + k(y − cᵧ)
When the center is the origin, the rule simplifies to (x, y) → (kx, ky).
Quick interpretation
0 < k < 1: reduction
k = 1: unchanged
k < 0: dilation plus inversion through the center
Frequently asked questions
What is a dilation?
A dilation changes the size of a figure while preserving its shape. Every point moves along a line through the center of dilation.
How does the scale factor work?
The distance from the center to each image point becomes the original distance multiplied by the scale factor.
Can the center be somewhere other than the origin?
Yes. Select Custom center and enter its x- and y-coordinates.
Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.
