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Unit Circle Symmetry Reloaded

Unit Circle Symmetry Reloaded

Assessment

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

Created by

Wayground Content

FREE Resource

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9 questions

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1.

FLASHCARD QUESTION

Front

Which rotation results in flipping the point on the unit circle over the x axis?

Back

−θ-\theta or 2π−θ2\pi-\theta

2.

FLASHCARD QUESTION

Front

Which rotation results in flipping the point on the unit circle over the y axis?

Back

π−θ\pi-\theta

3.

FLASHCARD QUESTION

Front

Which rotation results in flipping the point on the unit circle over the origin? Options: π−θ\pi-\theta , θ+π\theta+\pi , −θ or 2π−θ-\theta\ or\ 2\pi-\theta , θ+2π\theta+2\pi

Back

θ+π\theta+\pi

4.

FLASHCARD QUESTION

Front

Based on the diagram, what are the coordinates of P'? Options: (cos⁡θ,−sin⁡θ)\left(\cos\theta,-\sin\theta\right) , (−cos⁡θ,−sin⁡θ)\left(-\cos\theta,-\sin\theta\right) , (−cos⁡θ, sin⁡θ)\left(-\cos\theta,\ \sin\theta\right)

Media Image

Back

(−cos⁡θ,−sin⁡θ)\left(-\cos\theta,-\sin\theta\right)

5.

FLASHCARD QUESTION

Front

Find the missing values for A, B, and C.

Media Image

Back

A = 12\frac{1}{2} , B = −12-\frac{1}{2} , and C = −12-\frac{1}{2}

6.

FLASHCARD QUESTION

Front

Find the missing values for A, B and C. Options: A=32,B=32,andC=−32A=\frac{\sqrt{3}}{2}, B=\frac{\sqrt{3}}{2}, and C=-\frac{\sqrt{3}}{2} , A=−32,B=32,andC=−32A=-\frac{\sqrt{3}}{2}, B=\frac{\sqrt{3}}{2}, and C=-\frac{\sqrt{3}}{2} , A=−32,B=−32,andC=32A=-\frac{\sqrt{3}}{2}, B=-\frac{\sqrt{3}}{2}, and C=\frac{\sqrt{3}}{2} , A=32,B=−32,andC=−32A=\frac{\sqrt{3}}{2}, B=-\frac{\sqrt{3}}{2}, and C=-\frac{\sqrt{3}}{2}

Media Image

Back

A=−32,B=−32,andC=32A=-\frac{\sqrt{3}}{2}, B=-\frac{\sqrt{3}}{2}, and C=\frac{\sqrt{3}}{2}

7.

FLASHCARD QUESTION

Front

What happens to your horizontal position with respect to the vertical center line as the Ferris Wheel rotates CCW through QI?

Media Image

Back

My position moves towards the center line and my distance from the center line decreases.

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