The transformation is not rigid since the form of the triangle is changed. The transformation rule is defined by (x, y) → (0.5 · x, 3 · y).
What is the transformation rule used in the three points?
In this problem we have three pairs of points in rectangular form, whose transformation rules have to be derived. After a careful observation, we find that the x-component of the image is equal to the half of the x-component of the preimage and the y-component of the image is equal to 3 times the y-component of the preimage.
Now we proceed to check this conclusions:
R'(x, y) = (0.5 · (- 2), 3 · 1)
R'(x, y) = (- 1, 3)
S'(x, y) = (0.5 · 4, 3 · 2)
S'(x, y) = (2, 6)
T'(x, y) = (0.5 · 2, 3 · (- 2))
T'(x, y) = (1, - 6)
Now we proceed to graph each triangle, which are presented in the image attached below. Graphically speaking, the transformation is not rigid since the form of the triangle is changed. The transformation rule is defined by (x, y) → (0.5 · x, 3 · y).
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