Exploring Dilations

Topic:
Dilation

In this activity you will be exploring properties of Dilations. You are responsible for answering the questions below electronically.

In the applet above, move the "slider" bar that is representing your scale factor. Move points A and B to see what happens to the dilation and move the center of dilation, point O.

What happens when the scale factor is bigger than one? (Select all that apply)

Check all that apply

What happens when the scale factor is smaller than one? (Select all that apply)

Check all that apply

Move point O, move point A and move point B. Adjust the scale factor. Use these movements to help you discover the answer below.

No matter what your scale factor is, line segment A'B' always seems to stay ________ to line segment AB.

Move point O so that it is on top of point B, then use the slider to adjust the scale factor.

When the center of the dilation is a point on the figure, what happens to that point when the figure is dilated?

Move the center of the dilation so that it is in the middle (approx.) of the line segment. Then adjust the scale factor.

When the center of the dilation is somewhere on the line segment, what happens to the line segment when you dilate it, in comparison to when the center is NOT on the line segment.

In the applet above, move the points A, B, C, and O around freely. Use the slider to adjust the scale factor.

What happens to the angles when you dilate a shape?

What scale factor should be used so that triangle ABC is congruent to triangle A'B'C'?

In the applet above, move around points A, B and O. Adjust the slider to change the scale factor of the dilation, then answer the questions below:

How is dilating a line different from dilating a line segment?

Adjust point O so that it is on the line, then adjust the slider to explore what happens when you dilate the line.

Explain what happens when you dilate a line with a center of dilation that is on the line itself.

SUMMARY:

What are the THREE main things that happen to something when you dilate it?