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Mathematics Quiz: Inscribed Angles and Central Angles

Test your understanding of inscribed angles and central angles with the following questions. Choose the correct answers where indicated.

  1. What is the relationship between an inscribed angle and the central angle that subtends the same arc?

    • A. The inscribed angle is equal to the central angle.
    • B. The inscribed angle is double the central angle.
    • C. The inscribed angle is half of the central angle.
    • D. The inscribed angle is unrelated to the central angle.
  2. If the measure of a central angle is 80 degrees, what is the measure of the inscribed angle that subtends the same arc?

    • (Provide your answer in degrees)
  3. Which of the following statements is true regarding inscribed angles?

    • A. An inscribed angle that intercepts a semicircle is a right angle.
    • B. Two inscribed angles that intercept the same arc are always unequal.
    • C. An inscribed angle always measures double the arc it subtends.
    • D. Inscribed angles do not relate to the arcs they subtend.
  4. In circle O, if the inscribed angle is 30 degrees, what is the measure of the arc that this inscribed angle intercepts?

    • (Provide your answer in degrees)
  5. What is the angle between two radii drawn to the endpoints of an arc called?

    • A. Inscribed angle
    • B. Central angle
    • C. Exterior angle
    • D. Complementary angle

Answers

  1. C
  2. (Your answer here)
  3. A
  4. (Your answer here)
  5. B

Good Luck!