Exploring Dilation

Exploring dilation:

In this activity you will explore how the image enlarges or shrinks [br]Follow the steps and the instructions given for each question and write down the properties of dilation.

1) When 0< K < 1

slide K to a any value between 0 and 1.For example =0.5.[br]Compare the preimage and the iamge. What happens to the image?

It enlarges, becomes bigger than the pre-image The image disappears It shrinks, becomes smaller than the pre-image It stays the same, nothin changes

2) When K=1

Slide K=1 . Compare the pre image and the image.What do you notice?

The image disappears It enlarges, becomes bigger than the pre-image It stays the same, the size of the image and the pre-image are the equal It shrinks, becomes smaller than the pre- image

3) When K >1

Slide k to any value greater than 1 .For example k=1.5. Compare the pre image and the image.What happens to the image?

It enlarges, becomes bigger than the pre-image It shrinks, becomes smaller than the pre- image The image disappears It stays the same, the size of the image and the pre-image are the equal

4) Finding the scale factor K

Slide K to any value.[br] Find K, [math]\frac{OA'}{OA},\frac{OB'}{OB},\frac{A'B'}{AB}[/math][br]What do you notice about them all?

5) Finding scale factor, K, using the ordered pairs

Slide K=2[br]What are the coordinates of A, B, A' and B'.[br]How can you find the scale factor using the ordered pairs?