Dilation Calculator

Dilate shapes by scale factor with coordinate geometry.

How It Works

  1. Enter a point. Type the original (x, y) coordinates and a scale factor k.
  2. Dilate from origin. The main result shows (kx, ky) when the center is (0, 0).
  3. Dilate from center. Use the center block: x′ = cx + k(x−cx), y′ = cy + k(y−cy).
  4. Polygon mode. Enter multiple vertices to dilate a shape and compare area (×k²) and perimeter (×|k|).
  5. Reverse & graph. Find k from image coordinates or view the dilation on a coordinate graph.

Pair with our Pythagorean Theorem Calculator for distance work.

Enter values to see results.

Formula & Reference

From origin: (x′, y′) = (kx, ky) · From center: x′ = cx + k(x−cx)