I. [math]\Delta[/math]ABC has been dilated using the ordered pair rule (x, y) [math]\rightarrow[/math] ([math]\frac{1}{2}[/math]x, [math]\frac{1}{2}[/math]y). [br]Use GeoGebra tools to answer the questions below.
1. Compare the lengths of corresponding sides. What do you notice?[br]2. Compare the measures of corresponding angles. What do you notice?
The lengths of the sides of the image are half the length of the sides of the pre-image.[br]The corresponding angles are congruent.
What effect did using a scale factor between 0 and 1 have on the image?
The image is a reduction of the pre-image.
What effect did using a scale factor greater than 1 have on the image?
The image is an enlargement of the pre-image.
Move point X to the origin. What ordered pair rule maps the pre-image onto the image? [br]Use [i]k[/i] to represent your chosen scale factor.
[math]\left(x,y\right)\longrightarrow\left(kx,ky\right)[/math]