Transformation Geometry Dilations. What is a Dilation?. Dilation is a transformation that produces a figure similar to the original by proportionally shrinking or stretching the figure. Dilated PowerPoint Slide. Proportionally. Let’s take a look….
Dilated PowerPoint Slide
Let’s take a look…
And, of course, increasing the circle increases the diameter.
So, we always have a circle with a certain diameter. We are just changing the size or scale.
Decreasing the size of the circle decreases the diameter.
We have a circle with a certain diameter.
When we describe dilations we use the terms scale factor and center of dilation.
Here we have Igor. He is 3 feet tall and the greatest width across his body is 2 feet.
He wishes he were 6 feet tall with a width of 4 feet.
His center of dilation would be where the length and greatest width of his body intersect.
He wishes he were larger by a scale factor of 2.
Scale factor > 1
0 < Scale Factor < 1
Scale factor of 1.5
Scale factor of 3
Scale factor of 0.75
Scale factor of 1/5
Scale factor = 1/3
A (3, 9) , B (15, -6), C (6, 0)
1/3 * A(3, 9) A’ (1, 3)
1/3 * B(15, -6) B’ (5, -2)
1/3 * C(6, 0) C’ (2, 0)