CG 7 Dilations

Author:
Ms. Andres
Topic:
Dilation
I. ABC has been dilated using the ordered pair rule (x, y) (x, y). Use GeoGebra tools to answer the questions below.

Observations

1. Compare the lengths of corresponding sides. What do you notice? 2. Compare the measures of corresponding angles. What do you notice?

II. Try the dilation tool, using point X as your center of dilation. Experiment with scale factors between 0 and 1 as well as greater than 1. See what effect moving point X has on the image.

What effect did using a scale factor between 0 and 1 have on the image?

What effect did using a scale factor greater than 1 have on the image?

Move point X to the origin. What ordered pair rule maps the pre-image onto the image? Use k to represent your chosen scale factor.

III. Investigation- Dilations of Circles: Follow the directions from and record your answers in your notes.