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Dilate triangle using center and a scale factor of 2.
Look at your drawing. What do you notice? What do you wonder?
Your teacher will give you sheets of paper. Each student in the group should take one sheet of paper and complete these steps:
| scale factor, | length of scaled rectangle | width of scaled rectangle | area of scaled rectangle |
|---|---|---|---|
Now the group as a whole should complete the remaining steps:
Imagine a triangle lying flat on the desk, and a point directly above the triangle. If we dilate the triangle using center and scale factor or 0.5, together the triangles resemble cross-sections of a pyramid.
We can add in more cross-sections. This image includes two more cross-sections, one with scale factor and one with scale factor . The triangle with scale factor is the base of the pyramid, and if we dilate with scale factor , we get a single point at the very top of the pyramid.
Each triangle’s side lengths are a factor of times the corresponding side length in the base. For example, for the cross-section with , each side length is half the length of the base’s side lengths.