Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
3. Rotations
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Exercise 2 Page 566

How can you relate transformations clockwise and counterclockwise?

Different Statement: The fourth statement is different.
Answer: A'(- 2, 1), B'(- 4, 2), C'(- 2, 4)
Different Answer: A'(2, - 1), B'(4, - 2), C'(2, - 4)

Practice makes perfect

The first and third statement both describe a 90^(∘) rotation counterclockwise (to the left) so these statements describe the same transformation.

What about the second transformation? This shows a 270^(∘) rotation clockwise. The transformed figure will end up at the same coordinates as if we were to rotate it 90^(∘) counterclockwise.

So the first three statements ends up transforming △ ABC to the same coordinates. Let's show the last transformation as well.

Therefore, we can say that fourth statement shows a different transformation.