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G.SRT.1 Understand Similarity in terms of similarity transformations

Perform a dilation from the origin using the following function rule f(x, y) → (3x, 3y).

a) What is the scale factor of the dilation?

b) Using ΔABC and its image ΔA’B’C’, connect the corresponding pre-image and image points. Describe how the corresponding sides are related.

c) Determine the length of each side of the triangle. How do the side lengths compare? How is this comparison related to the scale factor?

d) Determine the distance between the origin and point A and the distance between the origin and point A’. Do the same for the other two vertices. What do you notice?