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Common Core Standard HSG-C.A.2 Questions

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

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Grade 10 Circles CCSS: HSG-C.A.2
Which is true for intersecting chords?
  1. One chord is half of the other chord.
  2. Their difference is -1.
  3. The product of their divided lengths are equal.
Grade 11 Angles CCSS: HSG-C.A.2
What is the measure of an arc when the central angle is 45°?
  1. 22.5°
  2. 45°
  3. 90°
  4. 180°
Grade 11 Angles CCSS: HSG-C.A.2
What is the measure of an inscribed angle when the arc measure is 60°?
  1. 90°
  2. 120°
  3. 60°
  4. 30°
Grade 11 Angles CCSS: HSG-C.A.2
What is the measure of an arc when the inscribed angle is 45°?
  1. 22.5°
  2. 180°
  3. 90°
  4. -90°
Grade 11 Angles CCSS: HSG-C.A.2
What is the measure of an inscribed angle when the arc measure is 180°?
  1. 90°
  2. 80°
  3. 360°
  4. 60°

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