1. 2.7 Dilations
Essential Question: How do you dilate a figure to create a reduction or enlargement?

2. Dilation = Decrease OR increase
Changes the size, but not the shape, of a figure.
Dilation = Decrease OR increase
Pre-Image and Image must be proportional
Therefore, they are “_ _ _ _ _ _ _”

3. To Decrease size of figure:
Steps to Dilate a Figure:
To Decrease size of figure:
Multiply each coordinate (x and y) by a scale factor smaller than 1
(example: multiply by 1 4 )
To Increase size of figure:
Multiply each coordinate (x and y) by a scale factor larger than 1
(example: Multiply by 4)

4. Example 1
The vertices of a triangle are A (1, 3), B (3, 3), and C (1, 5). Draw the figure and its image after a dilation with the scale factor of 2 (k = 2).
Identify the type of dilation: ________________________________

5. Example 2
The vertices of a triangle are A (3, 9), B (9, 6), and C (6, 3). Draw the figure and its image after a dilation with the scale factor of (k = 1 3 ).
Identify the type of dilation: ________________________________

6. Example 3
The vertices of a rectangle are A (2, 4), B (2, -4), C (-2, -4) and D (-2, 4). Draw the figure and its image after a dilation with the scale factor of ______. (k = _______ )
Identify the type of dilation: ________________________________
Pre- Image Vertices
Scale Factor of 𝟏 𝟐
Image Vertices
A (2, 4)
B (2, -4)
C (-2, -4)
D (-2, 4)