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Other Angle Relationships In Circles

Other Angle Relationships In Circles . Geometry Chapter 10 A BowerPoint Presentation. 2 chords. Draw 2 intersecting chords in your circle Label a pair of vertical angles as angles 1 and 2 What do you know about angles 1 and 2?. 2 chords. Draw 2 intersecting chords in your circle

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Other Angle Relationships In Circles

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  1. Other Angle Relationships In Circles Geometry Chapter 10 A BowerPoint Presentation

  2. 2 chords • Draw 2 intersecting chords in your circle • Label a pair of vertical angles as angles 1 and 2 • What do you know about angles 1 and 2?

  3. 2 chords • Draw 2 intersecting chords in your circle • Label a pair of vertical angles as angles 1 and 2 • What do you know about angles 1 and 2? • They are congruent!

  4. 2 chords • Angles 1 and 2 intercept two different arcs of the circle. Do these arcs have to be congruent?

  5. 2 chords • Angles 1 and 2 intercept two different arcs of the circle. Do these arcs have to be congruent? • No!

  6. 2 chords

  7. 2 chords

  8. 2 chords • Find the measures of angles 1 & 2

  9. 2 chords • Find the measures of angles 1 & 2 Both angles = 110o

  10. 2 chords • Find x

  11. 2 chords • Find x x = 80

  12. 2 secants • Put a point outside the circle (probably to the right) • Draw two secants that go through that point and through the circle • Do you see how the angle you’ve created intercepts two arcs in the circle?

  13. 2 secants

  14. 2 secants

  15. 2 secants • Find the measure of angle 1

  16. 2 secants • Find the measure of angle 1 Angle 1 = 50o

  17. 2 secants • Find x

  18. 2 secants • Find x x = 130

  19. 1 secant & 1 tangent • Put a point outside the circle (probably to the right) • Draw a secant that goes through the circle and through the point • Draw a tangent that touches the circle at one point and goes through your point • Do you see how the angle you’ve created intercepts two arcs in the circle?

  20. 1 secant & 1 tangent

  21. 1 secant & 1 tangent

  22. 1 tangent & 1 secant • Find the measure of angle 1

  23. 1 tangent & 1 secant • Find the measure of angle 1 Angle 1 = 45o

  24. 1 secant & 1 tangent • Find x

  25. 1 secant & 1 tangent • Find x x = 90

  26. 2 tangents • Put a point outside the circle (probably to the right) • Draw two tangents that each touch the circle once and intersect at your point • Do you see how the angle you’ve created intercepts two arcs in the circle?

  27. 2 tangents

  28. 2 tangents

  29. 2 tangents • Find the measure of angle 1 (There is enough information!)

  30. 2 tangents • Find the measure of angle 1 (There is enough information – how big is green arc?)

  31. 2 tangents • Find the measure of angle 1 Angle 1 = 80o

  32. 2 tangents • Find x

  33. 2 tangents • Find x x– (360 – x)= 2 (50)

  34. 2 tangents • Find x x = 230

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