Understanding Inscribed Angles in Circles

12 3 inscribed angles n.w
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Explore the concept of inscribed angles in circles, learn how to find angle measures, segment lengths, and variable values in circle geometry. Discover the properties of arcs, secants, tangents, and more in this comprehensive study of angles within circles.

  • Inscribed Angles
  • Circle Geometry
  • Angle Measures
  • Segment Lengths
  • Arcs

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Presentation Transcript


  1. 12.3: Inscribed Angles

  2. So far, angles in circles Are there any other ways we could form an angle in this circle?

  3. An inscribed angle is one whose vertex is on the circle (not the center) The endpoints of the rays of an inscribed angle form the intercepted arc for that angle

  4. What are the values of a and b?

  5. Find the values of the numbered angles

  6. If arc PMQ=212, what is the measure of angle PQR?

  7. If KJ is a tangent line, what are the values for x and y?

  8. 12.4: Angle Measures and Segment Lengths

  9. A secant is a line that intersects a circle at two points

  10. What is the value of each variable?

  11. What is the value of each variable?

  12. In other words, for any two line segments drawn, if you multiply the segments of the line together, it will be equal to the product of the other line segments

  13. Find the value of each variable

  14. Find the value of each variable

  15. Homework: Section 12.3, pages 784: 6, 9, 11, 12, 18 Section 12.4, pages 794-795: 8, 10, 13, 15-18 Honors: Add 24, 32, 33 Quiz on Monday (Area)

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