Dilation Station
- Author:
- Jamile the Teacher, Jed Butler
Explore
You can change the shape of the triangle by dragging points A,B, and C.
You can change the scale of the triangle by clicking the slider on the left of the y-axis.
Drag the X to change the origin of dilation.
1) What do you notice when you change the scale of the dilation? What happens to the dilated triangle
(red triangle A'B'C')?
2) What do you notice when you move the origin of dilation?
a) Describe what happens to the dilated triangle (red triangle A'B'C') when the origin is outside the original (blue triangle).
b) Describe what happens to the dilated triangle (red triangle A'B'C')? when the origin is inside the original (blue triangle).
c) Describe what happens to the dilated triangle (red triangle A'B'C')? when the origin is on a vertex of the original (blue triangle).
Task
Step 1 - Create a right triangle and dilate it using a scale of two.
Step 2 - Place the origin of the dilation at (0,0).
Step 3 - Record the dimensions and calculate the area of both triangles.
b) There is a secret relationship between the scale, the area, and the dimensions. Can you figure it out?
Reflect
When you transform a triangle by dilation, what happens to the triangle? Explain in your own words.