Dilation Results
The Dilation Calculator helps you find the new coordinates of a point after applying dilation. This tool is useful for students and teachers working on geometry problems related to scale factors and transformations.
What is Dilation in Geometry?
Dilation is a transformation that changes the size of a figure but not its shape. It is done using a scale factor, which either enlarges or reduces the figure based on a fixed center point.
Formula:
If the original point is (x, y), and the scale factor is k, then the new point becomes:
(x', y') = (k × x, k × y)
Example:
If point A = (2, 3) and the scale factor is 4,
Then the new coordinates will be (8, 12).
If the original point is (x, y), and the scale factor is k, then the new point becomes:
(x', y') = (k × x, k × y)
Example:
If point A = (2, 3) and the scale factor is 4,
Then the new coordinates will be (8, 12).
Why Use a Dilation Calculator?
- Instant results with accurate calculations
- Helps in visualizing transformations
- Ideal for geometry homework or teaching
- Reduces the chance of manual calculation errors
Applications of Dilation
Dilation is often used in:
- Mathematics and coordinate geometry
- Computer graphics and animations
- Engineering and modeling designs
- Real-world scaling problems like map reading
Conclusion
The Dilation Calculator by Mini Web Tool makes it easy to scale points with any scale factor. Whether you’re learning about transformations or solving practice problems, this tool saves time and effort. Try it today and boost your geometry skills!