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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 39 Page 568

The only thing that's changing is the angle.

A'(2,120^(∘))
A''(2,210^(∘))
A'''(2,300^(∘))
Explanation: See solution.

Practice makes perfect

To rotate the point by a certain number of degrees, we add this number to m∠ XOA. Since m∠ XOA=30^(∘) the new angles becomes 30^(∘)+90^(∘)=120^(∘) 30^(∘)+180^(∘)=210^(∘) 30^(∘)+270^(∘)=300^(∘)

Let's illustrate the image of A', A'', and A''',

The only thing that's changes is the angle so the new points can be written as: A'&(2,120^(∘)) A''&(2,210^(∘)) A'''&(2,300^(∘))

Subchapter links

Communicate Your Answer p.561

Monitoring Progress p.563-565

Exercises p.566-568