Definition of Dilation
- Dilation is a similarity transformation in which a figure is enlarged or reduced using a scale factor ≠ 0, without altering the center.
Examples of Dilation
- In the figure shown, triangle ADE is enlarged to triangle ABC using a scale factor 4. Here, A is the center of dilation.
More about Dilation
- When the scale factor of a dilation is greater than 1, the dilation is an enlargement.
- When the scale factor of a dilation is less than 1, the dilation is a reduction.
Solved Example on Dilation
A'B'C'D' is a dilation of ABCD. Find the scale factor if AB = 2 × A'B'.
Correct Answer: C
Step 1: A'B'C'D' is a dilation of ABCD.
Step 2: AB = 2 × A'B' implies A'B' = 0.5 × AB
Step 3: So, the scale factor is 0.5.
Related Terms for Dilation
- Similarity Transformation
- Scale Factor