Transformation in maths

1 answer

Transformation in math refers to the process of altering the size, position, shape, or orientation of a figure or object. There are several types of transformations, including:

1. Translation: A translation moves a figure or object from one location to another without changing its shape or orientation. This is done by adding or subtracting values from the x and y coordinates of each point in the figure.

2. Reflection: A reflection flips a figure or object across a line, creating a mirror image. The line across which the figure is reflected is called the line of reflection.

3. Rotation: A rotation turns a figure or object around a fixed point, usually called the center of rotation. The figure remains the same shape and size but is shifted in a circular motion.

4. Dilation: A dilation changes the size of a figure or object, making it larger or smaller. This is accomplished by multiplying the x and y coordinates of each point by a scale factor.

Each transformation can be represented by transformation matrices or transformation rules, which define the specific changes applied to each point in the figure or object. These transformations are fundamental concepts in geometry and are used to analyze and solve various mathematical problems.