Lesson Worksheet: Angles in Standard Position Mathematics • 10th Grade

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In this worksheet, we will practice identifying angles in standard position and finding the positive and negative measures of their equivalent angles.

Q1:

Is the angle in standard position?

  • ANo
  • BYes

Q2:

Is the angle in standard position?

  • ANo
  • BYes

Q3:

Does the ordered pair (𝐶𝐴,𝐶𝐷) express an angle in standard position?

  • ANo
  • BYes

Q4:

Is the angle in standard position?

  • ANo
  • BYes

Q5:

In which quadrant does the angle −242∘ lie?

  • Athird quadrant
  • Bfourth quadrant
  • Cfirst quadrant
  • Dsecond quadrant

Q6:

In which quadrant does the angle −17𝜋36 lie?

  • Afirst
  • Bsecond
  • Cfourth
  • Dthird

Q7:

State the smallest positive angle that is equivalent to the angle shown.

Q8:

Find a positive and a negative coterminal angle for 340∘.

  • A10∘ and −690∘
  • B690∘ and 10∘
  • C20∘ and −700∘
  • D700∘ and −20∘
  • E700∘ and −700∘

Q9:

The following graph shows a right triangle at 𝐵, where 𝑂𝐵=2√3 and 𝐵𝐶=2. Which of the following is the coterminal angle of 𝑂?

  • A60∘
  • B330∘
  • C420∘
  • D390∘
  • E300∘

Q10:

In which quadrant does the angle 795∘ lie?

  • Athird quadrant
  • Bfirst quadrant
  • Csecond quadrant
  • Dfourth quadrant

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