Transformation

Transformation

A transformation is a way to change the position, shape, or size of a figure. It helps us move objects in a plane without changing their properties. The main types of transformations are: 

1. Reflection – Flipping a shape over a line. 

2. Rotation – Turning a shape around a fixed point. 

3. Translation – Moving a shape without rotating or flipping it. 

4. Scaling (Dilation) – Changing the size of a shape while keeping its proportions.

Example Question 

A point A(3, 4) is translated 2 units right and 3 units up. What is the new position? 

Solution: 

New position = (3+2, 4+3) = A’(5,7) 

Combined Transformation

When we apply two or more transformations to a shape, it is called a combined transformation. The order of applying transformations can sometimes change the final result. 

Example 

1. Reflect a triangle over the x-axis. 

2. Then, translate it 3 units to the right. 

This is a combined transformation where both reflection and translation are applied.