Geometric Dilation
- Author:
- Mark.Allen@mnps
Use the Slider to manipulate the Dilation Factor.
Part I
Where is the transformation when m=1? Is it Identical to the Pre-Image? Explain.
Move the slider to m=2. Describe the change in the image.
What happens when m = 0? When m is negative? When 0 < m < 1? When m > 1?
When m < -1?
m = 0
m is negative
0 < m < 1
m > 1
m < -1
Part II
Directions
Check both boxes that show the distance from the vertices to the center for the pre-image and image. Answer question #1 below.
Turn on the “compare coordinates” check box and answer the remaining questions.
How do the distances compare when m=1? When m=2? When m=0.5? When m=-1?
m = 1
m = 2
m = 0.5
m = -1
What do you notice about the coordinates when m=1? m=2? m=0.5? m=-1? m=-2
m = 1
m = 2
m = 0.5
m = -1
m = -2
Write a conjecture about the relationship between the pre-image and image coordinates based on the original coordinates and the value of m. .
Pre-image Image
(x, y)( , )