Dilation

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.

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.

Example 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.

     example of  Dilation

Video Examples: Dilation


Solved Example on Dilation

Ques: A'B'C'D' is a dilation of ABCD. Find the scale factor if AB = 2 × A'B'.

    Choices:
    A. 2
    B. 5
    C. 0.5
    D. 0.2
    Correct Answer: C

Solution:

    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.
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