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Dilating Line Segments - Properties

Question 1

Leaving the center of dilation, point D, at (0, 0), point A at (0, 3) and point B at (3, 0), adjust the scale factor k to 2, 3, 4 and 5. What are you noticing about the slope of AB compared to A'B'?

Question 2

Leaving point A at (0, 2), move point B to (4, 3) and move the center of dilation, point D, so that is is on line segment AB at (2, 3). Adjust the scale factor, k, to 0.5, 2, 3, and 4. What do you notice about the length and location of A'B' compared to AB?

Question 3

How would you summarize the differences in the dilated line when the center of dilation is ON the preimage line versus NOT ON the preimage line?