Copy of Dilation Exploration
DIRECTIONS:
1) Select the slider tool to create a slider.
Name the slider k.
Set Min = -5, Max = 5, Increment = 0.1
2) Select the DILATE FROM POINT 
tool.
Highlight a box around point A, point B, and Curious George's picture.
Then select point C (to serve as center of dilation)
In the pop-up box that appears, enter "k" (without the " " 's) to serve as the scale factor.
3) Select the Move tool. Explore!
Please answer the questions that appear below the applet.
tool.
Highlight a box around point A, point B, and Curious George's picture.
Then select point C (to serve as center of dilation)
In the pop-up box that appears, enter "k" (without the " " 's) to serve as the scale factor.
3) Select the Move tool. Explore!
Please answer the questions that appear below the applet. 
1)
Suppose point A = (1, 2) is dilated about C(0,0) with scale factor 2.
Suppose point B = (4, 1) is dilated about C(0,0) with scale factor 2.
What would the coordinates of the A' = image of A be?
What would the coordinates of B' = image of B be?
2)
Suppose point A = (1, 2) is dilated about C(0,0) with scale factor 3.
Suppose point B = (4, 1) is dilated about C(0,0) with scale factor 3.
What would the coordinates of the A' = image of A be?
What would the coordinates of B' = image of B be?
3)
Suppose point A = (1, 2) is dilated about C(0,0) with scale factor 4.
Suppose point B = (4, 1) is dilated about C(0,0) with scale factor 4.
What would the coordinates of the A' = image of A be?
What would the coordinates of B' = image of B be?
4)
Suppose point A = (1, 2) is dilated about C(0,0) with scale factor 0.5.
Suppose point B = (4, 1) is dilated about C(0,0) with scale factor 0.5.
What would the coordinates of the A' = image of A be?
What would the coordinates of B' = image of B be?
5)
Suppose point A = (1, 2) is dilated about C(0,0) with scale factor 0.
Suppose point B = (4, 1) is dilated about C(0,0) with scale factor 0.
What would the coordinates of the A' = image of A be?
What would the coordinates of B' = image of B be?
5)
Suppose point A = (1, 2) is dilated about C(0,0) with scale factor -1.
Suppose point B = (4, 1) is dilated about C(0,0) with scale factor -1.
What would the coordinates of the A' = image of A be?
What would the coordinates of B' = image of B be?
What if the scale factor was -2? -3?
5)
What do you notice? Write any observation(s) you have below.
6)
Notice how the image of f is called f'.
How do their lengths compare?
When is f' bigger than f?
When is it smaller than f?
Be specific!
7)
Go to the STEPS window now (notebook-looking icon to the left of the circle/triangle symbol)
Hide the pictures of George and his image by de-selecting the bubbles of pic1 & pic1'.
This should only leave the points and segments remaining.
What else can we conclude segments about f' and f? Be sure to move points A and B around!
8)
Use the tool(s) provided to you to prove your conjecture for (7) is true. Can you also illustrate this another way?