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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

3. Rotations

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Exercise 1 Page 566

Use the rule on an arbitrary point.

270^(∘)

Practice makes perfect

If we pick an arbitrary point say (3,5), and apply the given rule (a,b) → (b,- a), then the new point will have the coordinates (5,- 3). Let's mark these coordinates in a coordinate plane and connect them with segments from the origin.

Now we can see that the rule (a,b) → (b,- a) is a result of a rotation of 270^(∘) counterclockwise about the origin.

Subchapter links

Communicate Your Answer p.561

Monitoring Progress p.563-565

Exercises p.566-568